If you can catch it, you can put up flyers to see if anyone claims it. It does occasionally happen that someone loses a rabbit... but mostly they have been "let loose." [If it did belong to someone, one would think that they would be the ones putting up flyers for a "lost pet."]
If no one claims the rabbit, then at least you have kept it safe in the meantime and then can find a better home for it.
As for it looking fed... it's probably foraging grass and shrubs. This is also a danger because some may be sprayed with pesticides or some of those shrubs can be poisonous. (Domestic rabbits have lost the ability to know which are safe.)
Good advice. I know a gal who's got a rabbit rescue in your area. With predators, incoming winter temps, owls, hawks, and parasites that can attack the bun, she or he'd benefit by not roaming loose outdoors.