Yes,you definitely can get admission in a government engineering college,even the top ones but you might not get your most preferred branch in the top most colleges

Hello Dear,

With this rank(2863- OBC-B) sure you can get govt., semi govt. or private institution in West Bengal. some colleges are:
1.Jadavpur University

2.Maulana Abul Kalam Azad Universty

3.bidhan Chandra Krishi Vishwa Vidyalaya Nadia

4.university of Kalyani-Kalyani

Etc.

For more colleges check it out given the link:
https://engineering.careers360.com/articles/wbjee-cutoff

Good luck