Has an Olympic Hockey (Men) game ever ended 13-7?
Exactly once. On February 4, 1948, Poland beat Italy 13-7, and no Olympic Hockey (Men) game before or since has ended that way. When it happened it was a scorigami, the first 13-7 in league history.
That makes 13-7 the 75th most common final score out of 99 that have ever occurred in Olympic Hockey (Men). One point away, 14-7 has happened 2 times and 13-8 has happened never.