Allan Eckert wrote:
No. You can't purchase AppleCare now. You should have purchased it within 60 days of when you purchased it.
Since when? I've always been able to purchase Apple Care anytime within the first year.
The AppleCare Protection Plan covers your Mac or Apple Display for three years, or your Apple TV for two years, from the original date you buy your device.
You can buy the AppleCare Protection Plan with your new Mac, Apple Display, or Apple TV, or within one year of your product purchase. Learn more about where to buy the AppleCare Protection Plan.
Can I buy an AppleCare plan for my device? - Apple Support