Aye. The Teen Titans Robin, in the animated series, is just that: Robin. There are hints that it could be Dick Grayson, though...
SPOILERS AHEAD! Ye be warned!
Here we go:
-There are three Robins. Dick Grayson, Jason Paige, and Tim Drake. The Robin in Teen Titans seems to lean toward Tim Drake's description, however.
-It was hinted that the current Robin is Dick Grayson (Larry the Titan is Robin from another dimension, and seems to be the exact opposite of the Robin in the series. Short, fat, can fly/manipulate stuff...and Larry the Titan's real name is Nosyarg Kcid, which is Dick Grayson backwards.
-In an episode of Titans, Starfire travels forward in time and meets up with the Titans twenty years in the future. Robin is no more...he became Nightwing. This again hints toward Dick Grayson.
-Like Bloodcat says, Dick Grayson, in the animated series, was at least of college age. Neither of the other Robins were, but in the classic Batman series, Dick Grayson was around 14. So there's a possiblity that the Robin in TT could be the classic Robin instead of the "new" Robin. But that still doesn't fit in; in yet another episode of TT, Robin is forced to go to a prom. He has to be at least a junior in high school (or around that age), which means 15-17 (most people would say 16).