They can and do do that in the US but only for a limited time and you have to tell them your old address and new address. It's essentially a bridge for you to update everyone who might only rarely send you mail. I still get mail for the previous owner more than 4 years after buying my house. (This is confirmed by sending a postcard you either enter a code to complete the redirect or send back in I can't remember exactly I've done it twice in my whole life.)
https://moversguide.usps.com/mgo/mail-forwarding-instruction...