No, GNOME does not have a bug reporting tool any more.
Submitting issues on the user’s behalf exposes the problems of scale when it comes to bug reports: you need a whole team to triage issues, close duplicates, and in general avoid dumping random issues into random project trackers—especially now that we have per-project issue trackers inside GitLab, as opposed to a single global issue tracker as in the Bugzilla days. Scaling is why we stopped using Bug Buddy nearly two decades ago.