Can braces erupt teeth?

I have a deep bite with extremely minimal overjet and overbite. My teeth are quite "flat" in my face - I want them a bit rounder, which I hope would give me more lip support. Also, they are somewhat far back in my face, so I don't want an orthodontist to push my front teeth back to correct my deep bite. My back teeth are quite short compared to my front teeth (which are also small). Could erupting them fix the problem, if it's possible?

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