>If for example you were able to create a wormhole that connects a point in Earth at sea level to a point above Earth let's say 1 kilometer --- you'd be able to drop an object on the wormhole at sea level, have it appear 1 kilometer above earth, have it drop 1 kilometer and by the time it reaches the ground it'll have gain kinetic energy more than the energy you used to push it through the wormhole.

You'd have air moving towards lower pressure area. Maybe move the wormhole a few km higher and install a wind turbine at the opening for infinite energy.