I just brought iPhone 15 pro and it got broken, can I purchase apple care + now as I'm eligible for apple care + as my phone is within warenty of 60 days. Can I purchase it?

AppleCare claims cannot be backdated, so purchasing it now won't cover the current damage. However, your home contents insurance might cover the breakage. You can still purchase AppleCare, but it will only apply to future claims.

No. That would be like taking out a life insurance policy on someone who is already dead… It’s fraud.