With an EAMCET rank of 4197 and belonging to the BC-B category, you have a good chance of getting a seat in NIMS Hyderabad, but it depends on the course you're aiming for. If you're looking for paramedical or allied health science courses (not MBBS), then yes, you may get a seat. For MBBS, NEET is mandatory, so without it, MBBS is not possible. Keep checking official counselling updates for exact cutoff details and seat allotments.