Yes, If you believe it will help you advance your career. You can receive a loan to pay for your education at any IIM.
Value Addition -
I chose MBA because it seemed like a more straightforward path to my desired job. It helped me gain the required skills (yes, there are interesting and relevant things you can learn during your MBA course).
If any of the aforementioned points apply to you and your main issue is debt, I recommend pursuing an MBA. It will be worthwhile. Believe me when I say that you will be able to repay your debt.