There's a chance. It can even happen to people older, maybe, who knows.
But keep in mind that beard is the strongest hair, apart from maybe scalp hair, that grows on your body. It's the very last thing likely to go away. So unless you're still so young you still have a peach fuzz-like beard, chances are that it won't go away. Well, you might get lucky, who knows, but even if you do, it's probably going to take time. Do you want to spend your first months or years of HRT as a bearded woman? Probably not.