Has a Copa America game ever ended 4-4?
It has. 4-4 has been a Copa America final 2 times in 1,738 games. The first was Bolivia and Ecuador drew on March 10, 1963; the latest was Bolivia and Ecuador drew on March 10, 1963.
That makes 4-4 the 26th most common final score out of 36 that have ever occurred in Copa America. One point away, 5-4 has happened 4 times and 4-5 has happened never.