Are the Skandhas reborn from moment-to-moment?
Imagine a camp fire that started in 1982. The original fuel has burned down but new fuel is regularly added. The overall shape and configuration of the fire in 2020 is somewhat reminiscent of the original 1982 fire but of course none of the material is the same.

Now if we were to analytically separate the fire into several categories (skandhas) we would find wood, ash, heat, light, oxygen, and smoke - all playing their roles in the maintenance (upadana) of fire.

Is it the same fire staying or is the fire "reborn" moment to moment? It's neither and both, these are just concepts to explain the working of causal continuity.

One important mistake in the worldview underlying your original question:  it assumes that "the fire" starts when a new human is born. But this is not so. The fire has been continuously burning through generations. "The beginning point is not evident". A new human is just another tongue of flame.