Has a College Football game ever ended 4-3?
Exactly once. On November 8, 1873, Columbia beat Rutgers 4-3, and no College Football game before or since has ended that way. When it happened it was a scorigami, the first 4-3 in league history.
That makes 4-3 the 1820th most common final score out of 2,216 that have ever occurred in College Football. One point away, 5-3 has happened 13 times and 4-4 has happened 7 times.