Apple has confirmed an outage that is affecting multiple services including the App Store.
The company's system status page indicates that as of 5:33 PM users began experiencing problems with the App Store, Apple Fitness+, Apple Music, Apple TV+, and Podcasts. All users are affected.
----- App Store - Outage Today, 5:33 PM - ongoing
All users are affected
Users are experiencing a problem with this service. We are investigating and will update the status as more information becomes available. -----
It's unclear how long it will take Apple to resolve the outages, but you can check the link below for current status.