the closest thing i can think of is Crane Kung Fu
The Crane Stylist has no Weapons. As with the Crane, all parts are tools, wings, claws and beak. Much so for the Crane Stylist, there are no special tools, hand shapes or teaches. Everything results from a movement. A flung out hand, a whirling foot or the pecking Cranes Beak (the only Crane Specific Hand Shape). The Crane Stylist would not use any strong technique, choosing first to avoid and attack and whilst moving to safety and 'accidental' foot, hand or beak could land on the opponent. In no way would the Crane stylist go out of their way to apply a technique, all would be incidental to the move of escaping and avoiding; dancing away
Jujutsu certainly uses fists.