I'm not a huge fan of hockey but the sport seems to have so many interesting things like this that really sets it apart from other major sports. Could you ever see the NFL letting an amateur walk on the same day and play in a real game?
https://en.wikipedia.org/wiki/Kurt_Warner#Professional_caree...
Even so, in the case of a kicker/punter injury a NFL team wouldn't call someone out of the stands to fill in - they'd sign someone out of free agency to play the next week and would adjust their strategy accordingly during the current game.
It's really cool that pro hockey has a unique system in place for edge case situations like this.
Ndamukong Suh is a 300 pound defensive tackle but he was the emergency placekicker for the Dolphins for 2017. There are a bunch of QBs who can punt as well.
The legendary quarterback Doug Flutie kicked the last successful "drop kick" in the NFL for an extra point in 2006. However, that was more of a novelty than out of necessity; New England's kicker was healthy, they were well ahead in the game, and the team knew Flutie would retire after the season.
I think the closest thing would be a pitcher in baseball, but even there, it's hard to imagine an injury scenario that would result in an amateur being put in, because there are so many relief pitchers, and others not in rotation that could sub in.
It's interesting because these position players often have good stats for their brief appearance, but (almost) never move into pitching even part-time as a result. This is because none of the opposing hitters have studied that player's pitching, making the hitter's job that much harder. That is, the results don't completely reflect how well the pitcher actually pitched.
It's possible that a similar effect is in play here.