Hello Anshu Kumar.

No, A candidate not having West Bengal Domicile is not eligible for getting admission in any government college apart from Jadavpur University under wbjee.

However with a such a good rank of 1854, you can absolutely get any Private college and any branch under wbjee.

You can also check the colleges by checking the college predictor by clicking the link below 

Since your obc-b rank is 966 in the year 2019, you can surely get Jadavpur University which is the best college under WBJEE when your obc-b rank is under consideration.

Now apart from the two branches :- Computer science and engineering and electronics and communication(this one you might even get) , you can get all the branches if you wait till round 3.

You can even check our college predictor for furthur confirmation by clicking the link below

Https://www.careers360.com/wbjee-college-predictor?icn=wbjee-clgpd&ici=exit-intent