A team has had more errors (6-0) than hits 4 times since 1897, most recently JAX on 2 August 1941. That is about one every 110,751 team-games.
Box score for the most recent one ↗
4-3 5-0 5-1 5-2 5-3 5-4 6-0 6-1 6-2 6-3 6-4 6-5 7-0
The whole distribution — More Errors Than Hits · All 18 shapes