Rabbits can in fact eat peaches, though you should limit the amount they have at one time, as they are very high in sugar.

You will also want to make sure that the pits are taken out of the peaches you feed to your rabbit, because they can choke on them or at very least having trouble digesting them.

Peaches can provide animals like rabbits as well as people with a number of vitamins and nutrients which are essential for a healthy body. As long as you keep the number of peaches you give your rabbit to a minimum, you shouldn’t experience any problems.