I've heard of people accomplishing this feat (getting one to go into a cage trap) but I've not had much luck with it. I have a hard enough time getting them to step into a "forced" area around my foothold trap, let alone squeezing one into a small, confined opening.
However, there are several trappers in this area that have done well on them in bucket sets with #220s using beaver meat for bait. From what I'm told they find secluded brush piles, areas with no dog activity, etc. and have fairly decent success getting them to stick their heads into that little opening between the jaws. Based on that concept, I don't see why a decent-sized cage trap wouldn't work on cats. Give it a try.