hii ganga

yeah definately you would get the tamil nadu college under the sate quota where one college under govt you might get and other listed are private please check the below

Tirunelveli Medical College, Tirunelveli(govt)

Government Sivagangai Medical College(govt)

Govt. Medical College and ESIC Hospital, Coimbatore 

private

Dhanalakshmi Srinivasan Medical College and Hospital, Perambalur

Karpagam Faculty of Medical Sciences and Research, Coimbatore

Karpaga Vinayaka Institute of Medical Sciences, Maduranthagam

many more check the below link for more

https://medicine.careers360.com/articles/neet-cutoff-tamil-nadu

regards