Can a diver do a somersault without having any initial rotation when she leaves the board?

Yes, a diver can perform a somersault without any initial rotation when leaving the board by using the conservation of angular momentum. As the diver tucks their body or shifts their position during the descent, they can create rotation through their movements, such as pulling their knees to their chest or extending their arms. This manipulation of body position allows the diver to initiate and control the somersault in mid-air.