Hello Aspirant

Yes,you have chances of getting admission in many government medical colleges of karnataka with a score of 365 marks ,obc category and state quota.

The colleges with their last year cutoff are mentioned in the link below ,that will give you a rough idea about colleges in which you have higher chances to get a medical seat-

https://medicine.careers360.com/articles/neet-cutoff-karnataka
I hope this information proves helpful to you.

All The Best