Has a FIBA World Cup game ever ended 96-62?
Exactly once. On September 5, 2019, Germany beat Jordan 96-62, and no FIBA World Cup game before or since has ended that way. When it happened it was a scorigami, the first 96-62 in league history.
That makes 96-62 the 240th most common final score out of 863 that have ever occurred in FIBA World Cup. One point away, 97-62 has happened never and 96-63 has happened never.