Is it safe to use baby wipes on your rabbit?

No, you can't clean your rabbit with wipes. If you have to spot-clean your rabbit, try the dry bath method with plain cornstarch powder (see related question below for details): it's the safest cleaning method for bunnies. If the dry bath doesn't work, you can use a soft cloth and plain water. If plain water isn't enough, you can try a shampoo, but not just any shampoo will do! Rabbits have extremely sensitive skin, and most shampoos made for humans -- even babies -- are harmful for rabbits; even many shampoos made for pets (even for rabbits!) are not safe to use.

See the related question below for more information and for helpful links.

If your rabbit is dirty and needs cleaning, something is wrong! Rabbits are usually clean animals. Unless you know for sure why the rabbit is dirty and that it didn't hurt the rabbit (maybe you dropped a spot of tomato sauce on the rabbit's back), then you should bring your dirty rabbit to the vet. Treating the symptom (the dirtiness) isn't enough: you must treat the cause or else the problem will only get worse.