Garden pest

If they’re rabbits and they’re eating, I’d think they may leave some droppings and/or a paw print in some moist top soil. There me may also be some fur on the wire somewhere if they squeezed beneath it. The rabbits that I’ve seen tend to burrow into the ground so it’s possible that they may also dig under your wire. Seen any holes or areas in the dirt around the bottom of wire that’s looks like it’s been scratched away? Do you have any photos that we can see?