It might be possible, because there isn't a concrete cut-off point for anyone. It depends on gender, genes, family history (are your parents/sibilngs/cousins/aunts etc the kind of people who shot up at 13 and capped their height there, or are they more steady growers, eventually stopping at their very late teens?), environment ... all these play a role in how tall you could be.
I've read somewhere that the maximum possible height that any adult individual can possibly grow is 1- 2 inches taller than they are now, and that there are exercises to make the spine appear longer and hence make you appear taller. I don't know how true that is, but it's worth giving it a look if you're really that desperate.
Also, this may be a random question, but do you have scoliosis? People with mild to severe scoliosis have their spines curved and are usually shorter than they could be. If they get their spines straightened out they could be 1 - 3 inches taller.