Yes you can do this things simultaneously. And then if you crack neet exam, you can leave the BPT course. But then it depends on the college itself if they don't give you the leaving and your previously submitted certificates soon... You might also be asked to pay the full course fees as you have blocked a seat previous year while getting admitted into BPT.

Thank you.

Hello dear student,

Dear student if you want to take admission in bpt course then giving neet is not compulsory that is different colleges conduct their own examination for this course so neet is not required. While there are few states like Maharashtra to take admission in bpt course in that state neet can be required as few of the college ask for the marks of neet and give admission on the basis of the neet score. I hope this was helpful to you

Best wishes