No, you do not need domicile certificate. Domicile certificate is required to avail for state quota seats. But according to the new regulations, the state from which you are passing you Higher Secondary examination (10+2) will be treated as your domicile state. So as per your case you wont need any domiciliary certificate for taking admission in IIEST Shibpur.

Congratulations! for getting such a great college. Wish you a prosperous future ahead!