Not in nature...but sometimes A. clarkii will go in it (and I think I've heard of Maroon clowns going in them too?) in the aquarium. They should be given lots of light, fed occasionally, and moderate to strong current.
Probably not. Percs will host in lots of things besides anemones though...colt corals, xenia, mushrooms, rubber koosh balls...do a search and you'll probably find lots of examples. They naturally host in carpet anemones, which are difficult to keep. Are you sure you have a perc? The fish in your avatar looks like an ocellaris to me...if so, these will sometimes go in bubble tip anemones.
Looks like an ocellaris to me...but yes, strange things can happen. IIRC, one of the mods of this board had a clown host in a large clam, so anything is possible!