Im not sure if they can or not, but the mice could still cause fights over food fi they are hungry enough, which could land your bunnies with some scratches or bites. When there is one, there will be more, and more, and more… If you want to do traps, you can google safe mouse traps or get some live traps from walmart or the like
A safe trap ive used before in an old house was a make shift one with a bucket, a cut wire hanger long enough to balance on the bucket top, and some honey. You put the bucket right side up and put the wire hanger balanced over it. Wipe some honey over the middle of the wire. If you dont have honey, you can put an empty toilet paper roll with pellets/dried corn/hay inside of it. The honey and the toilet paper roll works to get the mices attention, they try to get it, but end up falling into the bucket and cant get out. This might not work in your rabbit room, but if you can get it somewhere near the room where the rabbits cant get to it, it might work