No! All PBs that can be seen in Athletics.app can be changed by athletes. The globe only indicates that a URL has been entered. If you click on it, the URL that the athlete has entered will open, where you can check for yourself whether that PB is indeed correct.
We are working on improving this and adding auto-complete for best performances. It is not yet clear when that option will be added, hopefully by the end of 2021.
This has been automatically translated into English