There is plastic-covered chicken wire, i e metal chicken wire cast in plastic, most often green. Just plastic is no match for bunny teeth =)
My bunnies are very cuddly, so I don’t agree bunnies generally don’t like to be pet. I actually think they enjoy being pet a lot – but it has to be on their terms. They don’t as a rule like to be lifted and held, that’s stressful for them. But if they are free to go when it pleases them, f ex nose-rubs and forehead-rubs and petting the ears is very popular. When rabbits are with other rabbits they tend to grrom each other a lot, so I think they have a natural aptitude for being pet and they will often reciprocate by licking your hand or arm or something close by like fabric or a piece of furniture.
But it doesn’t, as a rule, happen over night, as Franks mom’s says, patience is key. One of my buns went a whole year without wanting physical contact from me. With my other rabbit it “only” took a few months. I’ve only had dogs before, and rabbits are not like dogs, dogs sort of seek human attention right away, rabbits need to learn to trust you first. Treats are a good way to show them you are a resource to them and not a threat.