Hello Rudra Singh !

Yes, you can take part in the BHMS and MBBS counsselling allong with each.

You can apply form both  at same time, but th counselling timing for both are not same.

for more  information please visit these links :-

https://medicine.careers360.com/

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

Feel free to ask further.