Yes, I have connected my Wii to my Export Express (under my MAC environment) with out any problem, so the short answer is, YES
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There is a port in the back of the wii.
If it is a USB port charger - plug it into the back of your Wii (which should have a USB slot) or plug it into any other USB port such as a laptop & games console!
No. Only Wii discs will work with the Wii console
the wii can work on any tv
Xbox games will not work on a Wii, and Wii games will not work on a Xbox. however, if you mod soft your wii, you can play games from old platforms.