That's a yes an no answer mostly because the space between the local clusters are too large. There's a region around the supercluster where objects are gravitationally bound to the center of gravity and outside of that radius the local clusters will eventually escape. Much like the orbital mechanic of our solar system. So from that region outward the dark force appears to dominate and expand the space.

Edit: With our current understanding of the universe, within the Supercluster the dark force responsible for the expansion of the universe is too weak to overcome the gravitational "force" within the bounded section of the supercluster.