Annamalai University (Distance Education), Tamil Nadu

You can pursue 2 degrees simultaneously. But, both cannot be done from the same university and in regular mode.

Use the link provided below for further information.
https://www.shiksha.com/medicine-health-sciences/course/p-g-diploma-in-health-science-diabetology-annamalai-university-distance-education-tamil-nadu-tamil-nadu-other-68834

First of all your decision to do MBA is very appreciable. The major point includes your academic score in graduation. Then you should attend Management Aptitude Test which will happen after every 4 months gap. The score of MAT and graduation are taken together by major colleges for admission. So prepare well before you appear for MAT and have a bright future.