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.)