Yes, You can quit your English Honours under Calcutta University and you can join the BA LLB to continue with your law course. quitting the English Honours is not  a problem and by completing BA LLB you can become a degree holder.

Hello Asmin!

I am sorry you do not like your selected course of study. To answer your question, you can take up BA LLB but for that you will have to dropout for an whole year. Wait for the next academic year (JUNE 2020) and then freshly apply for the BA LLB course as once you are registered under the university for certain subject, your registration lasts throughout.

Hope this helps. Best of luck!