Space and matter are two fundamental concepts in physics. Space refers to the three-dimensional extent in which all objects exist and move, while matter refers to anything that has mass and takes up space.
According to Newton's laws of motion, space and matter do not have the inherent ability to push objects. Objects in motion will continue to stay in motion unless acted upon by an external force.
Gravity, which is the force of attraction between objects with mass, can cause objects to move towards each other. This can create the illusion of a pushing force, but it is actually a result of the objects being pulled towards each other.
Yes, energy can be used to push objects in space. For example, rockets use energy in the form of fuel to propel themselves through space. However, this is a result of the thrust force pushing against the rocket, not space or matter pushing the rocket.
There is no limit to how far objects can be pushed in space. Objects can continue to move indefinitely unless acted upon by an external force or encounter a gravitational force that changes their trajectory.