Yes, we have a few really. I know of 3 or 4 off of the top of my head, and then there are some preferred players too (they are free to play, but have spent $5 on cartel coins and such in the game which gives them a few more perks than pure free to players).
From a purely RP perspective, you aren't overly limited gamewise other than being limited in some emotes you can use (IE, free to play can't use /kneel or /sleep (which makes you kneel and lay down)) but that isn't usually a major issue.