Officiating at the End of Game

Hmmm...it would sure seem that way. Does the opposing team have the option of declining the 10-second runoff? If not, that raises another possibility....
15 seconds remaining with a stopped clock, no timeouts left, 3rd and whatever in the redzone. Spike the ball, take the 10 yard penalty, and run the clock down to 5 seconds. Kick the FG and win.
I'm going to deep dive the rule book in a bit and see if the opposing team is allowed to decline the run off. If memory serves, the only team that can do that is the offending team and they have to give up a TO in order to do it.