Without trying to been funny, I can say this has been the dream of humankind for a long time. Not sleeping at all would give us at least from 6 to 9 (sometimes more) hours per day for doing lots of things. To be honest, some people actually might find that tragic.
In fact, how important is sleep in our lives? Has there ever been anyone who did not need to sleep? If we train ourselves and progressively shorten our sleeping time, can one live without sleep at all?