Yes, you can play most Wii games on Wii U—but not natively. You must use "Wii Mode."
Select Wii titles re-released digitally on Wii U eShop (before closure 2023):
Summary: Wii U plays Wii games via Wii Mode. Requires Wii controllers. No GameCube. Online dead (fan servers exist). Best way to play Wii library today.