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.