Are there any top colleges that don’t require recommendations?

Pitt also includes the following statement regarding LORs

Letters of Recommendation

While we appreciate your teachers, counselors, and other mentors taking the time to write recommendation letters on your behalf, we find letters are beneficial in very limited circumstances (for example: providing context for variance in your overall academic performance). We recommend that you submit responses to the Short Answer Questions and use that space to explain or clarify what most recommenders would cover in a letter.