I am in San Jose, CA. My MacBook Pro was purchased in May 2021; can I still buy AppleCare for this laptop? It's in perfect working condition as well as cosmetically. Thanks.

You have to buy AppleCare+ within 60 days of the purchase of your Mac:

AppleCare Products - Mac - Apple

See the following from https://www.apple.com/support/products/mac/

How to buy

1. Purchase AppleCare+ with your new Mac.
2. Or buy it within 60 days of your Mac purchase:

• • On your device (go to  > About This Mac > Service)
  • Online (requires you to verify your serial number)
  • At an Apple Store (inspection of Mac and proof of purchase are required)
  • By calling 800-275-2273

This is primarily a user-to-user support forum; other Apple users like you. I don't know if there is any possibility of an exception to the 60 day limit.