Has a Copa America game ever ended 9-2?
Exactly once. On February 21, 1945, Brazil beat Ecuador 9-2, and no Copa America game before or since has ended that way. When it happened it was a scorigami, the first 9-2 in league history.
That makes 9-2 the 26th most common final score out of 36 that have ever occurred in Copa America. One point away, 10-2 has happened never and 9-3 has happened never.