Only technically yes. See, with the elevator, it doesn't matter how fast you go or how much you bring, because you're anchored to the Earth still. So you can get power from any source possible, not just rocket fuel which is the only thing we have now that both powerful enough and gentle enough to lift a ship to this height and still keep it and the Earth intact. Planes aren't powerful enough for cargo ships (although we can send some craft via plane, see SpaceX for this method), it's still not as efficient as an elevator. This can use solar, nuclear, fossil, tidal, anything. It just needs electricity. And not only that, it cuts down on staging, meaning less waste in terms of stages getting destroyed/damaged/used up. And finally, the biggest savings is the fact that you don't need the fuel to get the fuel to the place where you use the fuel with an elevator. Meaning you don't need a rocket capable of lifting 1.3 times as much fuel as is needed anymore (see: rocket equation).
