Has an Olympic Hockey (Men) game ever ended 13-3?
Exactly once. On February 17, 1952, Canada beat Finland 13-3, and no Olympic Hockey (Men) game before or since has ended that way. When it happened it was a scorigami, the first 13-3 in league history.
That makes 13-3 the 75th most common final score out of 99 that have ever occurred in Olympic Hockey (Men). One point away, 14-3 has happened never and 13-4 has happened never.