Sure, but I don't think this effect is enough to be significant to most evolutionary processes, especially if (and I believe this is the idea) in aging you don't become feeble. As long as there are enough resources to go around, there isn't a big problem, especially since people are resources themselves.
(If this weren't the case, you would think that evolution would drive us to die shortly after we had children, or at least after we lost our ability to have children.)
Most species have far more limited resources than we do (ie. that we have created for ourselves recently), and they exist in some sort of equilibrium. If old members of the population live longer, then the group will run short on resources and some will starve. If the old are not feeble and they don't die more than the young, then evolution will slow and the population as a whole will be less able to adapt to a changing environment over time.
Is this effect significant or not? I don't think we can guess at these types of things. Subtle changes in a complex system are hard to predict.
Natural resources aren't finite in any meaningful economic sense. Even in a physical sense, the upper bounds are huge. And, most important, most people are net producers; the longer they live, the more they produce.
