Of course! My two kitties were rescue cats from my local vets office. It took them a week or so to trust us and come out though. I had to sit on top of the bed where they were hiding and reassure them we were going to hurt them and that their other family loved them didn't want to give them up.

Oh, and I rescued my goldfish from my h.s.'s anatomy lab! It makes me so happy to see him swimming around his little bowl. I *know* he wouldn't be alive if I hadn't brought him home that Friday.