Hello Samir, 

Yes, definitely you are eligibile for appearing in NEET exam because eligibility for neet exam is that students should have completed there 11th and 12th with subjects physics, chemistry, and biology as compulsory subjects without any gap between 11th and 12th and also to secure 50% in 12th as aggregate marks.

So, there is no problem if there is gap between 10th and 11th class. 

All the best. Hope this will help you.