Has an NHL game ever ended 11-2?
It has. 11-2 has been a NHL final 22 times in 70,352 games. The first was Montréal Canadiens beat Montreal Wanderers on December 22, 1917; the latest was Pittsburgh Penguins beat Detroit Red Wings on March 27, 2022.
That makes 11-2 the 55th most common final score out of 95 that have ever occurred in NHL. One point away, 12-2 has happened 9 times and 11-3 has happened 21 times. At one point the score disappeared for 28 years, between 1993 and 2021.