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Here's proof rockets can't work in a vacuum:
Imagine the rocket ship is a 6-sided plastic die. If there is 0 pressure exerted equally on all six faces when its in space which way will the rocket go? It will go where gravity tells it to go. So how can we use our rocket thrust to push the die towards the moon? We can't because no matter how much high pressure gas the die-rocket releases there will always be 0 pressure against all six faces. Thrust requires high pressure behind and low pressure in front of the object being moved.
We cannot use gas to create a local high-pressure zone in space because every gas molecule released into the vacuum speeds away and disappears into the void. The first molecule disappears and the second goes right behind it, never catching up to the first one because the first one never slows down and so on up to an almost infinite number all escaping the rocket without bumping into each other. No molecule ever bumps into another so the area under the rocket remains zero pressure
In the atmosphere the first molecule out is slowed down by the air molecules underneath the rocket so the second one collides with the first, etc… In the atmosphere every molecule will either collide with the air or another molecule or both. In an atmosphere there will be billions of collisions per second per molecule whereas in space there will be zero.
With no collisions between gas molecules there is no pressure and with no pressure there is no thrust.