hello , yes you are eligible for the neet 

here is the age limit criteria 

The upper age limit for NEET (UG) is 25 years as on the date of examination with relaxation of 5 years for the candidates belonging to SC/ST/OBC category and persons entitled for reservation under the Rights of Persons with Disabilities Act, 2016.   

  The Age criteria for appearing in NEET (UG) - 2019 is as follows: 

For Candidates of Unreserved Category (UR) 

born on or between 05.05.1994 and 31.12.2002 

For Candidates of SC/ST/OBC/PwD Category 

born on or between 05.05.1989 and 31.12.2002 

In order to apply for NEET 2019 Entrance Exam you must have completed 17 years as on December 31, 2019. You can check teh further eligibility with the given below link.

https://medicine.careers360.com/articles/neet-eligibility-criteria

Good Luck!