Hello aspirant,

Hope you are doing absolutely great.

So with regard to your query, YES you can absolutely give the exam and score in it. There is no barrier that comes across you. However, your Btech 1st year course from the previous college won't be considered, after getting seat in NIT and IIT, you need to study the course again from the first time.

Checkout the following link for any information regarding JEE Mains preparation material: https://learn.careers360.com/engineering/jee-main-preparation-material/

Hope this helps you!!