Hello Aspirant,

Best reply to your answer would be given by college itself as only they can answer about management quota seats available in their college, they haven't released any official blog regarding management quota seats.
Yes, many top institutions have management quota seats in their college so this college also might have management quota seats.
So I'll suggest you to go to the college with your parents or call your college through your parents because if they will talk, then college will take it more seriously.
Hope this information is helpful
All the best