Inclusion Criteria:
* Participant has provided informed consent prior to initiation of any study specific activities/procedures
* Male or female ≥ 18 years of age at time of enrollment and willing and able to provide informed consent
* Histologically confirmed non-squamous NSCLC performed within 90 days of enrollment with EGFR Ex20Ins-mutated (addition of 1 or more amino acids) or uncommon/compound EGFR mutations (E709X, G719X, L747X, S758I, and/or L861Q) in tumor tissue or blood; any one of these mutations would qualify if compounded with another EGFR mutation
* Staging positron emission tomography-computed tomography (PET-CT) and brain magnetic resonance imaging (MRI) within 60 days of enrollment demonstrating stage II, IIIA, or IIIB (N2) NSCLC (American Joint Commission for Cancer \[AJCC\] version \[v\] 9); mediastinal staging is required by bronchoscopy or mediastinoscopy
* No prior systemic treatment for lung cancer
* Resectable and operable as determined by thoracic surgeon
* At least one measurable lesion according to Response Evaluation Criteira in Solid Tumors (RECIST) 1.1.
* Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1
* Absolute neutrophil count (ANC) ≥ 1.0 x 10\^9/L
* Platelets ≥ 100 x 10\^9/L
* Hemoglobin ≥ 9 g/dL without transfusion or erythropoietin (EPO) dependency (within 7 days of assessment)
* Glomerular filtration rate (GFR; by Cockroft-Gault or equivalent estimation) ≥ 45 mL/min/1.73 m\^2
* Serum total bilirubin ≤ 1.5 x upper limit of normal (ULN) OR direct bilirubin ≤ ULN for participants with total bilirubin levels \> 1.5 ULN with the exception of participants with Gilbert's disease
* Aspartate aminotransferase (AST)(serum glutamic oxaloacetic transaminase \[SGOT\]) and alanine aminotransferase (ALT) (serum glutamic pyruvic transaminase \[SGPT\]) ≤ 3 x ULN
* International normalized ratio (INR) or prothrombin time (PT), and activated partial thromboplastin time (aPTT) ≤ 1.5 x ULN unless participant is receiving anticoagulant therapy, as long as PT or PTT is within therapeutic range of intended use of anticoagulants
* Able to comply with study requirements
* Female participants may not be pregnant or breastfeeding from initial study visit through a minimum of 1 month after last dose of zipalertinib or 6 months after last dose of chemotherapy, whichever is later
* Adequate pulmonary function as defined by no requirement for oxygen supplementation
Exclusion Criteria:
* Concurrent enrollment in another therapeutic clinical study, unless enrolled only in the follow-up period or an observational study. Use of any antineoplastic therapy must not have been received within 30 days prior to the treatment initiation
* Treatment with live virus, including live-attenuated vaccination, within 30 days prior to the first dose of study treatment. Treatment with inactive vaccines (e.g., non-live or non-replicating agent) and live viral non-replicating vaccines within 3 days prior to first dose of study treatment
* History of active primary immunodeficiency
* Mixed small cell and NSCLC histology
* Stages I, IIIB (N3), IIIC, IVA, and IVB NSCLC, including leptomeningeal carcinomatosis or other central nervous system (CNS) metastases
* History of noninfectious pneumonitis that required the use of systemic corticosteroids, history of interstitial lung disease, treatment-related pneumonitis (any grade), or any evidence of clinically active interstitial lung disease
* Unable to swallow tablets or has any disease or condition that may significantly effect gastrointestinal (GI) absorption of zipalertinib (such as active inflammatory bowel disease, malabsorption syndrome, or prior GI resection)
* History of other malignancy within the past 2 years, with the following exceptions:
* Malignancy treated with curative intent before enrollment, with no known active disease and felt to be at low risk for recurrence by the treating physician, after discussion with the medical monitor.
* Adequately treated non-melanomatous skin cancer or lentigo maligna without evidence of disease.
* Adequately treated cervical carcinoma in situ without evidence of disease.
* Adequately treated breast ductal carcinoma in situ disease or early stage breast cancer without evidence of disease.
* Prostatic intraepithelial neoplasia without evidence of prostate cancer, or localized prostate cancer that is adequately treated.
* Adequately treated urothelial papillary noninvasive carcinoma or carcinoma in situ
* Diagnosis of myelodysplastic syndrome (MDS) requiring active MDS-directed treatment
* History of allogeneic organ transplant
* History of hypersensitivity to carboplatin or pemetrexed or any excipients of zipalertinib
* History of myocardial infarction and/or symptomatic congestive heart failure (New York Heart Association \> class II) within 3 months prior to first dose of study treatment
* History of cerebral vascular accident (e.g., stroke or transient ischemic attack) within 3 months prior to first dose of study treatment
* History of uncontrolled seizures
* Human immunodeficiency virus (HIV) infection.
* Participants with HIV infection on antiviral therapy and undetectable viral load are permitted with a requirement for regular monitoring for reactivation for the duration of treatment on study per local or institutional guidelines
* HIV screening is not required in the absence of clinical suspicion
* Active hepatitis C infection.
* Defined as participants with detectable hepatitis C antibody \[HCV Ab\] and hepatitis C virus \[HCV\] ribonucleic acid (RNA) viral load above the limit of quantification
* Participants with presence of HCV antibody (HCV Ab positive) and HCV RNA viral load below the limit of quantification (HCV RNA negative) with or without prior treatment are allowed
* Active hepatitis B infection.
* Defined as presence of hepatitis B surface antigen \[HBsAg-positive\] and hepatitis B virus \[HBV\] DNA viral load above the limit of quantification \[HBV DNA positive\]
* Participants with resolved HBV infection defined as absence of HBV surface antigen (HBsAg-negative) and presence of HBV core antibody (anti-HBc positive) followed by an HBV DNA viral load below the limit of quantification (HBV DNA negative) are allowed, with a requirement for regular monitoring for reactivation for the duration of treatment on the study and assessing the need for HBV prophylaxis therapy per local or institutional guidelines.
* Participants with chronic HBV infection inactive carriers state, defined as presence of HBV surface antigen (HBsAg-positive) and HBV DNA viral load below the limit of quantification (HBV DNA negative) are allowed, with a requirement for regular monitoring for reactivation for the duration of treatment on the study and assessing the need for HBV prophylaxis therapy per local or institutional guidelines
* Any condition (concurrent disease, infection, or comorbidity), in the opinion of the Investigator, that interferes with ability to participate in the study, causes undue risk, or complicates the interpretation of safety data