One of the things that rabbits love to do is to chew fruit tree branches. They absolutely adore doing this as they love the taste of them and it helps to wear down their teeth. As their teeth are constantly growing, this is of great benefit to them.
So can rabbits eat peach tree branches at all? We used to have a peach tree in our garden and so they are growing.
Unfortunately, the fruit tree branches that rabbits cant eat are the ones that have stones in them.
This includes the fruit, leaves, and trees. This is because they have pitted fruit and all hardwoods have arsenic in the wood. It needs to be completely dried out for them to eat the branches safely.
But it is not worth the risk.