Well, of course not :) Entropy as direction of time just means that the chaos on the whole increases. So, to create an ordered structure, like a cell organism, the by-product is more chaos around it.
I’d be shocked if that were the case, even only considering the Earth. The oceans and the atmosphere are full of entropy. So is the liquid outer core. And even if the mantle is not quite liquid, and even if the crust is mostly solid, these are huge in terms of volume and mass, much larger than the sliver of dirt we inhabit on top of them. So yeah, I really doubt we (collectively, all human beings) are changing the Earth’s entropy in any meaningful way.