No, it's not that well integrated. They don't call it 'tags' but they work exactly the same way. JIRA, the most commonly cited example in this thread, has a whole separate engine for it and your JIRA admin builds the ticket flow manually. All the way back in RT this sort of thing was handled by a cron job. Github leveraging actions to accomplish this isn't much of a difference.

P.S. I didn't ask