Can I buy apple care over the phone
Can you purchase apple care after you buy your phone
iPhone 11 Pro Max, iOS 14
Yes. You have 60 days after purchase of the iPhone to buy Apple Care.
You can do so directly on the iPhone in Settings->General->About->Apple Care+
Or by following the steps here: link-> Buy an AppleCare plan - Apple Support
Or by calling the number in the "How to Buy" section here: link-> AppleCare Products - iPhone - Apple