Short answer: No.
Long answer: The Wii and both versions of the Xbox have significantly different hardware and software to the point where emulation would be necessary on the part of the Wii. However, the Wii isn't nearly as powerful as a 360 (not sure about the original Xbox though) and even if it were the processor and GPU in the Wii have different instruction sets and even if it were possible to translate the code used for Xbox games into Wii game code, use Wii controllers, AND whatever else would be necessary, there would be so much overhead that the games would be absolutely unplayable.
Sorry about that. I'd get an Xbox if I were you.