Based on my searching, and pages like this https://developer.apple.com/help/app-store-connect/reference/user-notifications/ I don't think it is possible, but one thing I would really like is to be notified when a new build has been uploaded.
Engineering uploads a new build, and then I want to test it, so I have to wait for them to tell me a new build has been added to App Store Connect so that I can add it to the internal beta test test, which is me. If engineering doesn't tell me they uploaded their build I have to keep an eye on the builds section and wait for a new one to appear.
Is there a notification system for new builds added to the App Store Connect?