⚡ TL;DR
Yes — and they're statistically the MAJORITY of named toppers, not the exception. Verified cases: Anudeep Durishetty (AIR 1, 5th), Priyanka Goel (AIR 369, 6th), Shubham Kumar (AIR 1, 3rd), Ashish Kumar Singhal (AIR 8, 5th), Ira Singhal (AIR 1, 4th), Keerthana H S (AIR 167, 6th), Vivek Chauhan (AIR 300, 6th), Nikhil Mahajan (AIR 80, 6th). Modal winning attempt is 3-5, not 1.
BharatNotes