Has an Olympic Basketball (Men) game ever ended 30-16?
Exactly once. On August 7, 1936, Chile beat Turkey 30-16, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 30-16 in league history.
That makes 30-16 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 31-16 has happened never and 30-17 has happened never.