Has a College Football game ever ended 13-4?
Exactly once. On October 24, 1896, Harvard beat Cornell 13-4, and no College Football game before or since has ended that way. When it happened it was a scorigami, the first 13-4 in league history.
That makes 13-4 the 1820th most common final score out of 2,216 that have ever occurred in College Football. One point away, 14-4 has happened 11 times and 13-5 has happened 7 times.