While it is possible the idea would not be as popular. Wii Games were designed for 480i/p graphics, upscaling them to 1080p would make them look blurry or werid. This may be more Sucessful if a game was designed specificly for 1080p graphics, and not 480. Even on the Wii U the graphics would have to downgrade. Similar to GameCube Wii Emulation it has to downgrade/upgrade the graphics constantly to match the GameCube Config with the Wii's in mind.
If you really wanted to play Wii Games in 1080p you could try with another method but overall they will pretty much blow your Wii over in a scam like trade unless you had the perfect screen size, and res of a Wii.