The research work is not influenced by the institute you belong to rather it’s your hard work, talent, and determination that comes to count. No doubt, AIIMS has some top-notch ongoing research every time, but research work can be done from any institute. I have seen many AIIMS students work with labs at IIIT, IIT Delhi, NCBS, IISERs, and labs abroad. Every research opportunity can be availed just by the click of an email.
The primary step is to analyze where your interest lies and look up to a professor who is conducting research in the same. Contact him and convince him of your abilities and passion. As a bonus, you can take part in research electives or summer schools in your field which will add to your overall learning experience.
Some might find it difficult to do research work alongside their studies but remember your hard work will not go in vain. But it’s important to note that as a UG student, research should be solely based on your interest and not something you are doing out of boredom or as a formality.