If you can come up with a compelling story and a reason (other than bragging rights), and can prove you have academic skills, you will have a shot. The goal is

If you can come up with a compelling story and a reason (other than bragging rights), and can prove you have academic skills, you will have a shot. The goal is to convince the admissions committee who are just a few people, so you want to try and form a mental model of how they think. But why those two? Even if you are solely focused on prestige in the most superficial sense, there are at least a few more comparable US universities. You could increase your number of options by 5x or 10x even being very picky.