Um...no. Everything is moving away from everything else. The things further away from us are moving away more rapidly. This means that the universe is expanding, not contracting. Dark energy is required to explain how this is happening despite the force of gravity.
No, it means they are ACCELERATING away from us, nothing more. You assume it is an expansion, but it can also be assumed it is a contraction. Your problem is you are thinking the universe is linear, whereas I see the universe as a cosmic vortex. You assume that anything moving farther away from us is moving in a straight line, whereas I see it as spiraling away from us toward the contracting base of the vortex.
I see the universe expanding from the Big Bang in a spiral vortex and curving around on itself as it expands and as it passes its "equator" it spirals into a contracting vortex leading to the Big Crunch. So the universe viewed from an outside observer would see Feynman's sphere when viewed above the equator and Hawking's vortex when viewed above the poles, one expanding and one contracting.