My rank is 2878 in wbjee in sc catagary. can i get any branch, specially b. arh in jadhavpur?

I don't think jadavpur takes 1000 up rank of student as per B.Arch you can try , but I am not sure that you can get admission.

Eligibility
Minimum criteria
For B.Arch jadavpur takes (10+2) student who have pass mark in Physics, Chemistry and Mathematics.
Minimum in physics of 65% marks in abov e subjects taken together (45% forSC/ST/PWD/OBC-A/OBC-B candidates) having 60%
Mathematics (45% for SC/ST/PWD/OBC-A/OBC-B candidates)
English with a minimum of 30% (for all categories of candidates) in the said qualifying examination.

You have good rank so you can get any top college in westbengal except jadavpur because it is top college in india also. You can try but I am not sure you can get .

You can visit here to see all college in west bengal
B. Arch colleges are
https://engineering.careers360.com/colleges/list-of-b-arch-colleges-in-west-bengal

You can see All colleges name  that accept wbjee
https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-west-bengal-accepting-wbjee

You can visit this link to see the cutoff, seats in jadavpur viya this link https://dqxeclau.top/university/jadavpur-university-kolkata

Thank you. All the best. I hope this answer helps you.