If you're are talking about the primary surveillance system, ModeC, Mode1, Mode2 etc, it isn't accurate enough for ground control. Also unless the radar is right at the airport, you might not even be able to "see" an aircraft until it climbed out a bit. I would think they would have such a radar at the airport, but they might not if there is another larger airport pretty nearby.
The airport I fly out of on American Eagle has such a radar. I can see it out the window of my workplace. It's well elevated on a hill about a 1/2-3/4 mile off the north end of the runway.