Yes, of course, you can appear for NEET Exam. The minimum age to be eligible for NEET is 17 years. Your DOB is 2001, that means you have completed 17 years old. Right now, there is no upper age criteria until Supreme Court passes any Judgement on it, you can appear. Final year candidates can also apply. There are other criteria too, you must check them before registering.
http://medicine.careers360.com/articles/neet-eligibility-criteria

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