Yes. It can vary from cat to cat just like any animal and depends on the situation. My one little boy Stewie (a little orange boy, sorry I don't have a pic at the moment) likes to greet his people every morning, and you can see the excitement when he hears his name. He arches his back, wiggles his little butt and rams your legs until you pick him up and cuddle him for a few minutes, purring like an old Ford with a misfire.

If you're not around cats much you probably won't notice easily, because a lot of cats are a little wary around people they are not familiar with, and with some cats the cues can be fairly subtle. Some have resting bitch face like my other cat Trudy. She will be absolutely happy as hell but somehow still looks like she's plotting your murder.