The exact weight of the earth changes daily, although it is a tiny tiny tiny fraction of the overall mass.
This is not due to population growth.
When people are conceived, and undergo growth, it is by absorbing nutrients. So we don't really add to the mass of the earth, we just have less mass from our food source and more from us humans

The earth also gains mass from incoming space debri (both ours and natural) and looses some gases from the atmosphere each year.
I suppose there may be some mass gain at some level from plankton using sunlight to create mass?? Not really sure, but that single cell level MIGHT be an area where a tiny bit of energy is turned into mass?