Yes ofcourse. Depends on your dedication. See I'll tell you one thing honestly. I've prepared for NEEt for the second time when I was in the first year of Engineering. And it was quite possible. The only thing you need to lookout that your basic initial priority should be NEEt as you want a career in that and also stay away from making friends and a group as it may cause a problem to you in managing things. Yes make friends Ofcourse who will support you in your work and will help you with studies maybe when you miss some lectures due to studied of neet. But yes I'll give a positive vibe to you. It's possible don't worry. Bas work honestly and with dedication for NEEt. And also listen) ur BSC exams and neet exam may clash. So be prepared for it from the beginning about how you will be managing. 

For any further queries or my personal opinions, feel free to ask... 

Best wishes. 

Thank you.