Direct admission into 2nd year BSc Nursing in another college is generally not allowed. Only migration/transfer is possible, and that too within the same university, if both the existing and new colleges along with the university agree. This also depends on seat availability and the rules of the State Nursing Council or INC. If migration is not permitted, you would need to take fresh admission from 1st year in the new college.
If you want admission to Dr. Shyama Prasad Govt. Science and Commerce College for B.Sc. biotechnology, you need to have completed 12th with science subjects. Admissions are usually merit-based, depending on your 12th-grade marks. You can apply online or visit the college for the application form. Make sure to keep your documents, like mark sheets and ID, ready.