For your sake, please don’t!
Ace bandages get tighter as the day wears on. They will slowly constrict around your chest like a very flat snake and eventually crack your ribs.
Anything inelastic, like duct tape or saran wrap, goes up against the pressure of your lungs expanding. Breathing with it is even more likely to bruise or crack a rib.
As for sports bras: the tight elastic in straps, hems, and underbust bands is not meant to actually compress your chest. Applying narrow bands of pressure around the ribcage creates a real risk of rib dislocation.
We know these are all very popular ways to portray binding; we’ve seen all of these in webcomics, comic books, manga, music videos, TV shows, movies, the whole field. We make binders so that you can feel as good about yourself as you felt about that one character, without the attendant health risks.