no, it won’t. here’s an email from my GP, who’s been working in the Fenway Health system (which focuses on LGBT healthcare and research) for over a decade:
Binders worn too tight or for too many hours in a day can certainly cause some chronic rib/chest pain; they may even cause some scarlike thickening of the tissue under the skin - usually at the margins where the breast folds down against the chest wall in general. This can be uncomfortable, too. But none of this translates into making top surgery a problem. Not at all.
None of the surgeons I’ve sent patients to have ever remarked about this and nothing in standard practice or the general literature suggests or supports that conclusion.