Not really. It's a specially designed tool that's made for clipping rabbit's teeth. My vet has been working with rabbits for many years. I doubt she would use something that could hurt them. She's done a great job with Snow for at least 3 years now, so I do trust her completely.
Err, any medical tool is generally capable of hurting an animal. After all, my vet uses a scalpel during surgery, which is a specially designed tool to cut open an animal, but it would definitely be possible to hurt a rabbit with a scalpel!
If it's sharp enough to cut a tooth, or spins fast enough to grind a tooth, it can injure their cheeks and gums. Your vet may be great and lucky and never have it happen, but they don't call them accidents because we count on them to happen either.
We are as gods to the beasts of the fields. We order the time o' their birth and the time o' their death. Between times, we ha' a duty. - Terry Pratchett.
"Men have forgotten this truth", said the fox, "But you must not forget it. You become responsible, forever, for what you have tamed. - Antoine de Saint-Exupéry