Has there ever been a 14–0 in all competitions?

Yes, 3 times.

The first time: June 6, 1897, Belgrano Athletic beat Palermo Athletic (Belgrano Athletic 14–0 Palermo Athletic) · Primera Argentina.

The last time: May 26, 1946, Veracruz beat Monterrey (Veracruz 14–0 Monterrey) · Liga MX, 80 years ago.

Home wins: 3. Away wins: 0.

Nearby scores

1. 15–0 Never
2. 15–1 Never
3. 14–0 3 times
4. 14–1 Never
5. 13–0 1 time
6. 13–1 1 time

All games

1. May 26, 1946 Veracruz 14–0 Monterrey · Liga MX
2. May 21, 1905 Alumni 14–0 Reformer · Primera Argentina
3. June 6, 1897 Belgrano Athletic 14–0 Palermo Athletic · Primera Argentina