Hello, 

As per your question, your ranks are good and 62 is a good category rank also. 

For bsc nursing, it depends on which college you are applying for as evry college has their different exam and no of studenrs vary from one college to other. 

For whichever college you applied and got your rank, it depends on that college seat to student ratio. Normally there are 100 seats each in maximum college and your college has 100 seats, then chances are slightky less though. But it totally depends how many students are opting for counseling. You have chances still so try and see if you can get your government seat.

If its private, then definitely you can easily get thete as chances are much more to get in private if you can afford the fees.

Good luck