Hi Jayapriya

Yes of course you can apply for BSC nursing . any one can apply BSC nursing even after completing a  degree

after BSC biotechnology you can't directly do MSC nursing. But you can do BSC or Diploma in nursing or general nursing and midwifery (GNM) . you apply these courses based on your 12th marks

for more information click the link

https://www.careers360.com/courses/b-sc-nursing

hope this helps

good luck!