 This is an open label, single arm phase II study, to determine the overall response rate for the combination of lenvatinib and pemrolizumab in patients with metastatic gastroesophageal cancer who have progressed on first or subsequent line therapies. Given the significant cross talk between angiogenesis and the immune response, combined therapy with lenvatinib and pemrolizumab in advanced gastroesophageal cancer patient will provide improved outcomes compared to standard treatment with currently approved agents. 