A face pull involves setting up a cable machine so you can pull a weight horizontally towards your face, until the handles you're pulling with wind up on either side of your head.

It'd be sort of difficult to do without equipment since it's a cable exercise. If you didn't mind buying some resistance bands, and have a reasonably stable point somewhere at head-height to loop them through as an anchor, you could do that at home. (It's an exercise that you're supposed to do with reasonably light weight, so it wouldn't need to be too sturdy.)

EDIT TO ADD: this article has some explicit advice on how to adjust it to do at home on resistance bands: https://athleanx.com/articles/shoulders-for-men/stop-doing-f...

As a personal trainer, yes there are several movements that have the same effect as a Facepull without gym equipment. I would recommend "YTWL" movements in a prone (face down) position. Search YouTube for "YTWL"

It's actually better to start without equipment because those muscles are typically very weak for people who haven't specifically exercised those muscles

Thanks so much for the recommendation!

I'd also like to know what a "face pull" is. My first thought was: https://en.wikipedia.org/wiki/Gurn

Doing the motion without weight should be therapeutic, or you could do it with very light dumbbells.