Yes. You can take admission in BSc anesthesia under PMSSS scholarship scheme if you satisfy the following eligibility criteria

1. Must be domicile of J&K

2. Must have passed 10+2 from J&K Board or CBSE school located in J&K

3. The family income should not be more than 6 lakh per annum

4. The scholarship is applicable only for students willing to study outside the state of J&K.

You can find more details in the below link

https://www.aicte-india.org/downloads/PMSSS_FAQ_2017_18.pdf