WBJEE last date for application ended on November 13th, 2019 and no extension has been announced until now. Now, it is too late already and there will not be any reopening of registration for WBJEE. So you cannot apply for WBJEE now because there in facility of submission of application form with late fees payment. But you can also try writing JEE. If you missed applying for January session, atleast apply for April session. If you wait for WBJEE, you will have to wait for another year and waste an academic year. But if you write JEE in April, you will not lose out on an year.