No, because your face is still growing and if toi get it at that age, it'll definitely fuck up your face. But if teenagers could, damn, I'd be the first in line.
Technically - they can, but only with a doctors permission and with a parent to sign the legal forms. However any doctor/surgeon will be very wary of doing any cosmetic surgery on teenagers are they are still growing, most will wait until the correct age of 18 just to make sure. However some surgeons will give cosmetic surgery and fit it around the growth stages if that makes sense.