I do not belong to Tamil Nadu state. Can i apply for TNEA?

I would suggest you to go through the below given eligibility criteria -

Domicile residents of Tamil Nadu should have qualified 8th, 9th, 10th and 10+2th standard in the state.
If the domicile residents have completed their 8th, 9th, 10th and 10+2th standard from outside the state, then they will also be eligible provided they bring their copy of nativity certificate.
Children of government employees whose parents have been serving the state for the past 5 years from the day of application will also be eligible even if they are not domicile residents.

To know about the same in detail, you can go through the below article -

TNEA Eligibility Criteria 2017

Hope this helps!!!