Yes, I knew many students even I was in 3rd year of Bsc biology when I cracked NEET.
You are talking about Bsc but one of my batchmate crack the NEET after completing his BAMS.
Students crack NEET even after completion of BDS and veterinary course.
But this is not easy only hardworking and determinant students can perform this kind of stunts.
Best of luck plus all the best.