Does the hot spot move with the hawaiian islands?

Yes, the hot spot does move with the Hawaiian Islands. The Hawaiian Islands were formed by a volcanic hot spot in the Earth's mantle, which remains stationary while the Pacific tectonic plate moves over it. As the plate shifts, it creates a chain of islands, with the youngest island currently over the hot spot and the older islands gradually moving away from it. This results in the formation of new islands as the plate continues to drift.