I have received a job offer at a T1 which has stopped me from doing further internships other than the same firm. However, I wish to experience other things which I couldn't due to corporate internships. Can I ask for an exemption from HRs for this policy if the internship I want to pursue is unrelated to the firm's practice areas like Public Policy, NGOs or Startups?

Any employer who would stop you from looking around knows theyre making a sub par offer. I would never agree to this condition. If theyre truly confident in what they offer to their employers whether it is how much you can learn, how much space for growth there is, how much money you can make or work life balance- they wont need to ban you from interning elsewhere before you join. Its a scam. Do whatever you want and ask for forgiveness rather than permission.

No Its not.

I will give you an example. I have seen toppers from NLUs forego offers from S&R, TT&A, ICUL and Trilegal (Read- best paymasters, best work cultures, good seniors, good mentorship, great promotions, equity partnership), for CAM and SAM (Read- Total opposite)

So what I am saying is, students are really unpredictable from HR point of view and rightfully so. You may them an offer an year or two before, and instead of interning mandatorily with them and staying loyal or relaxing at home for the damn last time in your life, they look for other avenues just for the thrill, the "amarchand" name. Which is why you will see CAM and SAM never make you do mandatory internships. They know however bad you treat them, the masocist kids are coming back.

And this is true for everyone. Why will an institution make you a lifetime permanent job offer by placing certain restrictions on you from looking elsewhere. Like isn't that cheating? If you dont like the offer, reject it. Let another guy interested take it. Why waste the other guy's, firms and HRs time?