You can certainly try, basically, you're gonna have to take it apart, find the bluetooth board, disconnect the input, then buy a USB board, solder the input to there, and hope that all works.
It's a lot more difficult than it sounds, as mayer said, but if you google around you may find some guides that could help you taking it apart and stuff like that. You may very likely damage the mouse, but good luck anyways.
May I ask why you want to do this though?