Has there ever been a 13–5 in all competitions?

Never.

It would be a scorigami. Based on the average number of goals in all competitions, the chance of a game ending 13–5 is about 1 in 7,154,027,787.

Nearby scores

1. 14–4 Never
2. 14–5 Never
3. 14–6 Never
4. 13–4 Never
5. 13–5 Never
6. 13–6 Never
7. 12–4 Never
8. 12–5 Never
9. 12–6 Never