Hi there. 

You can surely apply for all medical entrance examinations after completing your graduation course i.e. as mentioned here B.Sc in Zoology. 

For being eligible to write NEET one has to be between the age range of 17 years - 25 years (for general candidates) with 50% aggregate marks in Class XII boards with Physics, Chemistry and Biology as the subjects.

It would be best for you to prepare for the NEET examinations during your 3 year course of B.Sc. 

Not only that, you can appear for NEET while doing your B.Sc. But once you crack it and get into a medical college you won't be able to complete the B.Sc course. You can only do one thing at a time, either a medical course or B.Sc. 

For more relevant information on the eligibility criteria kindly refer to the following link: 

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

Wishing you luck!

Hello,


Yes you can.You just need to fit the eligibility criteria.

Qualifying Exam
10+2 or equivalent with Physics, Chemistry, Biology/Biotechnology and English as core subjects in both Classes 11 and 12 from a recognized board.
Minimum Age Requirement
17 years as on December 31, 2019.

Candidates must be born on or before January 1, 2003.

Maximum Age Limit
Not more than 25 years of age for unreserved category candidates and 30 years of age for reserved and PwD category candidates (Case pending before Supreme Court; final criteria will be notified with the release of NEET application form 2019)

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


I hope this helps.