Hi there. 

You surely are eligible to write the NEET exam if you aren't 25 years of age (for general category) or 30 years of age (for reserved categories). 

Those are the age limits. 

If you are well within the age limit then you surely apply for the examination. 

Please check the following article for more details: 

https://www.google.co.in/amp/s/medicine.careers360.com/articles/neet-eligibility-criteria/amp

Hope this helps. 

Good luck!