Sort of, she didn't mention there being a special school for it. But she explained the what a Super High School level is!

[You would THINK it would be pretty straightforward but John had just been sort of baffled. They didn't have anything like that where he was from, at least to his knowledge.]

So basically... if you're not the absolute best of the best at one particular skill, you can't get into Hope's Peak? Is that how it works?