Absolutely. We have a very sociable dog and a Persian cat which is very chatty. Both speak different lingos, though. Cat needs more comms with the eyes and a lot less rubbing (except under the chin), dog's more into leaning-in and bopping you with the nose, cat much more into nudging you with her bonce. Get shouted at off the cat a lot more, bit more demanding regarding door opening etc. I know my place with the cat, other way round with the dog.
Get more sense out of the pair of them than most humans, tbf