Can I really eat as much fruit as I want?

I wanted to be sure that I could actually have a lot of fruit. Namely, grapes. They're my biggest guilty pleasure. A lot of the time, I'll use up all my points for the day and still be hungry and just run down to the walmart three minutes away, buy a bag of green seedless grapes, and then go home and eat close to, if not the whole bag, of grapes in one sitting. Same thing with those little fruit tic tacs (although I believe a whole case of those 1 or 2 points, which I do track)