Has an AFL game ever ended 34-27?
Exactly once. On August 29, 1903, Fitzroy beat Geelong 34-27, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 34-27 in league history.
That makes 34-27 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 35-27 has happened never and 34-28 has happened never.