Using a Physical Keyboard or Mouse

Although you can pair a Bluetooth Keyboard to the Vision Pro, it’s not compatible with Bluetooth mice — even Apple’s Magic Mouse.
Since Apple’s Magic Trackpad is supported, the lack of mouse compatibility is likely a user interface issue rather than a hardware one. A trackpad can be used for swipe and other touch gestures, whereas a mouse controls a pointer on the screen. While the Vision Pro can run iPad apps, it’s unclear how these would interact with a mouse pointer.
Oddly, while Apple says “most Bluetooth keyboards made by Apple and other manufacturers can connect to Apple Vision Pro,” it specifically excludes older models of its own keyboard and trackpads that use removable batteries.
However, you should be able to use game controllers without any problems. Apple says that “all controllers with MFi (Made for iPhone) designation work with Apple Vision Pro,” including those for Xbox, PlayStation, and any other controllers that work with iPadOS.