Has there ever been a 13–1 in all competitions?

Yes, 1 time.

The only time: October 6, 1974, Banfield beat Puerto Comercial (Banfield 13–1 Puerto Comercial) · Primera Argentina.

Nearby scores

1. 14–0 3 times
2. 14–1 Never
3. 14–2 Never
4. 13–0 1 time
5. 13–1 1 time
6. 13–2 Never
7. 12–0 7 times
8. 12–1 3 times
9. 12–2 1 time