No, because of the other random laws of nature, such as friction, heat etc. nothing can be 100% efficient. What you are basically saying is you are using an electric motor to drive a genorator which in turn drives the electric motor. However the electric motor won't be able to spin the generator fast enough to overcome all the energy used to turn it.

There is a new field wich electronics would cover electromagnets there is a new energy motor producer made with the movement by Magnets with out using energy from the plug just using the movement of the rechazing and attraction movement of the opposite forces of the magnets in the motor

Source(s):

My own blue prints of this Motor

This video shows one example where that might be possible...it's called overunity and although it should not occur, the device seems to put out more energy than it consumes.

It's basically a motor that drives a rotating cylinder inside another cylinder filled with water. The inventor drilled a series of holes in the inner cylinder or drum which when rotating, pummels or hammers the water and raises it's heat level to produce steam...the steam coming out could run a turbine to produce electricity to then run the motor that drives the cylinder. The amount of heat energy in the form of steam exceeds the amount of energy needed to run the motor....in effect, a perpetual motion machine but it's called a Cavitation Heater and may work on the principle of sonoluminescence which some think may be a way around the issues of overunity to create great amounts of free energy. Sono-L is also found in nature as pistol shrimp use it to kill or stun their prey. Time will tell.