As I study B.Com, I would like to know whether I can pursue both LLB and MBA degrees there.

Yes, you can opt. LL.B. MBA (Bachelor of Legislative Law and Master of Business Administration) is a combined Bachelors and Masters degree programme. Graduates of the LL.B. MBA programme will be able to handle financial, legal, political, and cultural difficulties while being aware of the legal syst

You can do it via option called distance learning with different available university.