Hello,

You cannot appear in NEET exam if you have not submitted the online application on or before last date successfully.You cannout appear in this year as you have not applied but if you are willing to appear next year you can apply for it provided you must fulfill the eligibility criteria.Now, you have not mentioned your state but there are colleges offering B.Sc nursing and it depends on your interest and financial ability to join in a college.Here is the list of colleges offering B.Sc Nursing which you may consider to get admission

https://medicine.careers360.com/colleges/list-of-bsc-colleges-in-india

The eligibility is that a candidate must have passed 10+2 with Biology, Physics and Chemistry.You need to score minimum percentage as specified by the college.