Not really possible, but it depends how much you are willing to bend what you're calling an organism.
Hypothetically you can have an organic creature that feeds off electricity, charges it's system the same way batteries do and release no waste in that way. But you're not going to get that in a pure organic world unless you somehow a highly charged atmosphere and even then it's questionable. And even then you're then looking at a whole host of adaptations to make that work for a naturally evolved creature.
But if you're open to more of a robotic organism which might arise from man creating them, then sure, but I doubt that's what you mean. And even then you're not looking at just energy we also create by-products such as sweat, which aren't wastes, to keep our bodies lubricated and such which all organism whether robotic or not would have to do.