Sense scientifically not much is known about how exactly the human body goes through aging, and what causes our body to start aging, its hard to say exactly. Theoretically anything is possible, its when people try to prove the theoretical through experimental means that things get tricky.
Right now its just a theory, and every theory has an equal chance of being proven experimentally.
I would say no. A lot of energy would not make you live longer.
Scientists have recently discovered what may be the cause of aging, and it has nothing to do with energy. It is rooted deep in the cells' metabolism. Cancer cells is able to "turn off" aging, and avoid apoptosis as well.
It has also been speculated that the cause of aging my be due to an inflammatory response in the hypothalamus in the brain.
Thirdly, it has been known for quite some time that telomeres (the outermost end of the DNA in every cell) plays a vital role aging.
Based on this, I don't think that storing up or gathering a lot of energy would matter to your lifespan. The best thing you can do is to be mindful of the factors that Sinix posted.
theoretically it could let you live a little longer do to the fact our whole body is made up of energy and uses energy, even when we eat we use energy and create energy from foods. But what also causes aging is the chromosomes in your body break up causing the aging process. If you go to a psychic fair sometime or a holistic fair or metaphysical fair or a supernatural fair they can take a picture of your aura which is made up of energy. So yeah auras and chakaras are real, even science proves that everything (even dead matter) has energy. The whole universe has energy especially spiritual beings. And we are both physical and spiritual beings, that's probably why angels envy us so much, not only because it's said angels may not have a will, but they also don't know how it feels like to be physical beings. Of course if you don't believe in angels that's cool, some wiccans do believe in angels some don't. Anyways yeah back to the point, theoretically it could make you live a little longer. But I doubt it would make you immortal.