Absolutely not. The care of a pet, (specially a rabbit!) should not rest solely on a child's shoulders. Rabbits are extremely hard to take care of, and unless the child is quite mature (ie. 15 and up IMHO) the responsibility should not be put on him or her completely. Parents who leave their pets for their children to take care of, are often exposing the animal to neglect. I read this page on rabbit caring and it does NOT sound like anything any non-adult person can actually handle: