Yes you can apply for it but if you pass the eligibility criteria

Bsc nursing eligibility

The candidate who has Pass in 10+2 or equivalent examination with 60% & above marks in PCB ( physics, chemistry, Biology) and 40% marks for reserved category in PCB shall be eligible fo r the course.

If you want to know more about it check out the link given in below
https://www.careers360.com/colleges/st-josephs-college-of-nursing-mysore/bsc-nursing-course