Hey there 

Yes you can you are free to do so. But who does that I mean if you are getting a college in Tamilnadu in state quota then why are you taking it by AIQ this way you are wasting a seat of AIQ. 

Check neet cutoff Tamilnadu

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cutoff-tamil-nadu/amp&ved=2ahUKEwjVxqL3ubHjAhXKMN4KHR-kDncQFjACegQIBhAB&usg=AOvVaw0N9se7bUWSotbYCUSKb2E9&ampcf=1

Check our college predictor

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/neet-college-predictor&ved=2ahUKEwjG8OTyubHjAhXZad4KHcY0CnYQFjAAegQICBAD&usg=AOvVaw0GP-IBP0p7uyjnJTAIrTBr

Good luck