Hello candidate,
Yes you have moderate chances of getting non core branches at the top NITs ( In NIT Tirchy , NIT surathkal ,NIT Durgapur), however you have slim chances of getting core branches at the newer NITs ( NIT Uttarakhand NIT Arunachal Pradesh NIT Meghalaya NIT Nagaland etc).

You can use the college predictor tool available on our website to predict which colleges you can get, link :https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor
all the best :)