Has a Copa America game ever ended 6-2?
It has. 6-2 has been a Copa America final 2 times in 1,738 games. The first was Argentina beat Chile on March 28, 1957; the latest was Argentina beat Chile on March 28, 1957.
That makes 6-2 the 26th most common final score out of 36 that have ever occurred in Copa America. One point away, 7-2 has happened never and 6-3 has happened 2 times.