Unfortunately no. Still wondering why Apple removed GC app as of iOS 10. There was the famous Game Center hiccup during the fall and winter of 2015-16, but I wonder if the hiccup was caused intentionally. Spent countless hours on the phone w Apple trying to fix it at the time. Apple acted as if they had no idea what I was talking about. BS.
So this: "You no longer add friends to Game Center. Now you invite people through iMessage for specific games. This behavior needs to be implemented by developers who use Game Center, so it is a per-game feature." as found on several sites (for instance: https://discussions.apple.com/thread/7677558?start=0&tstart=0 ) isn't correct? And what's about the part: "Allowing the Local Player to Invite Other Players to Be Friends" on Apple's GameKit documentation? https://developer.apple.com/library/content/documentation/NetworkingInternet/Conceptual/GameKit_Guide/Users/Users.html#//apple_ref/doc/uid/TP40008304-CH8-SW6