The universe is always expanding. Entropy is always increasing. Are these two things related?

If the universe were instead always shrinking, would entropy always be decreasing?

A chemical reaction tends toward the more chaotic side of the equation: two molecules become three or heat is released. If the universe were instead always shrinking, would chemistry tend toward that which is less chaotic? Would chemistry run in the opposite direction? Three molecules become two or heat is absorbed? Is the increase of chaos caused by an increase of spacetime?

The end of our universe is calculated to be huge amounts of empty space, dying black holes, and photons traveling toward oblivion. If the universe were always shrinking, the end of the universe would be compacting everything into the smallest space possible, the pinnacle of order.