Yup! In fact Taggart just got in trouble last weekend when my niece was visiting. We took the baby gate off the door since she was staying in that room. I hadn't moved the cat food dish yet and out comes Taggart licking his lips. Brat!
We also have a dish in the dining room but it is up on a TV tray and behind a screen with a chair blocking the way from the dogs. But the cats can get to it without a problem.

So yes, if given the opportunity.