Still not understanding your question.
In free space, if velocity is constant, there is no acceleration.
On the surface of the earth, constant velocity (including zero), we "feel" a 1 Gee acceleration due to gravity.
If I build a rocket, with thrust equal to (earth) weight, and run it far from any gravity-mass, it will accelerate at 1 Gee and gain speed quickly.
If I start that rocket on the earth's surface, 1 Gee thrust will make it light on its pad but it will not lift. (The big Saturn V lifts at about 1.2 Gee thrust, so 0.2 Gee net acceleration, and is accelerating slower than a Geo for a while, until its mass is reduced by fuel burn.)
If all the people on Earth pushed the same way, what would they push *against*? Yes, I can push East on a tree, but my feet push West. I'm not going to move the earth, just strain a small section of soil. (With an excavator I can push the tree hard enough to rip soil, but also make skid-marks under the treads. The earth as a whole does not move.)
If all the people on earth were bunched-up in a group, and "pushed with their feet", each person has 8,000 miles of rock under their footprint. Even if they had a stick reaching to the moon so they could exert push without causing a matching pull on the earth, the mass of rock per person is 6,000,000 times the weight of a person, so while we-all could "move the earth" it wouldn't move much.
It is almost exactly the 52nd anniversary of
"Levitating the Pentagon".
"No one claims that the Pentagon actually moved. Maybe there was a mistake in the incantation." However they did have a Permit to lift the Pentagon, but only 3 feet (reduced from 300).