Some banks offer a similar service on their credit cards. I know BoA has one called ShopSafe[1] and I'm sure there are others.

[1]https://www.bankofamerica.com/privacy/accounts-cards/shopsaf...

Citi offers a one time use credit card number feature on some of their account types and has done so for quite some time.

I believe this is what https://privacy.com/ does as well without the wait time.