Can I get Apple care for a product I already have?

I got an Apple Watch as a gift. I recently broke the screen and am sending it in for repair. I didn’t realize it wasn’t covered under Apple care. My boyfriend had coverage in his phone and assumed they would have applied the Apple care when he asked them to when he purchased the watch for me. I paid out of pocket for the repair, but is there any way I can get coverage for any future accidents that may occur?