Hello! Nishant. Yes of course you can do the Post Graduate(PG) from AIIMS, it's possible. You just need to full fill criterias given by aiims in order to get admissions in the colleges (AIIMS) for Post Graduate(PG) courses.
AIIMS PG criteria-
1. Aspirants must poseses an MBBS degree for MD/MS and BDS degree for MDS from an institution recognized by Medical council of India.
2.It is essential for all candidates complete the compulsory one year rotatory internships.
3.AIIMS PG applicants from General/OBC Category need to score minimum of 55% aggregate marks in MBBS, while the SC/ST category candidates must secure an aggregate of 50%.
4.Candidates with benchmark disabilities applying under the Persons with Disability (PwD) quota belonging to the above two categories must secure the minimum aggregate required in the respective categories.

You can visit this link for more information-

https://www.google.com/search?q=aiims+pg+criteria&oq=aiims+pg+cr&aqs=chrome.1.69i57j0l3.8462j0j7&client=ms-android-oppo&sourceid=chrome-mobile&ie=UTF-8

Hope this helps!

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