So, if you're asking if a rabbit has a nickname that's given to them by other rabbits, the answer is no. Rabbits don't communicate in a way that would allow them to give each other nicknames.
However, if you're asking if a rabbit *could* have a nickname given to it by a human, then the answer is yes! Many people give their pet rabbits nicknames, often based on their personality, appearance, or a funny habit. 😊