We know well that jump/flash/thumb (or whatever else people call them) drives can become compromised or cause a compromise once inserted onto a USB port. Some years ago I got virus twice in such drives when I had to use a computer that everybody used for their presentations. Doubt it was malicious--guys less cybersavy just don't kow they have infected device.
Thus undoubtedly so can USB or even wireless mouse become contaminated or cause contamination. This has happened to me with both types. More details if anybody is interested in how I know this.
Becoming more geeky than I ever planned to be.