Of course. If everyone in your family has the big girls, you will too. I think I was a 32A at 14 as well, and now I'm a 36B (C if I gain weight), and my development came after high school. In the meantime, enjoy being sleek, sometimes boobs can look matronly, and slenderness always looks youthful and graceful. Look at photos of supermodels in the 1970s before things went to big boobs and butts -- they looked like lovely, sleek otters. Enjoy what you've got, other things are coming, enjoy that too. :-)
I agree. Our bodies change over time and our breast size is no different. Weight gain increases them, pregnancy, etc. A padded bra is pretty common these days if you feel you want more shape in clothes. I don't want to minimize how you feel but as you get older, gain confidence, this matters less and less.