Chances of an international senior for chemistry major at *private* colleges

What major are you looking at? If it is in engineering, I would drop Harvard, UPenn, and even Princeton, UPenn, and definitely UChicago.

All are reaches, of course, but I agree with @merc81, that you are likely to be accepted to at least one of the colleges on this list.

So, if you were to ask “what are my chances to be accepted at Harvard?” the answer would be “pretty low”. However, if the question is “what are my chances at being accepted to at least one of the colleges on this list?”, the answer would be “pretty solid”.