No. Evolution selects based on relative fitness. Killing older members is obviously more efficient for the population as a whole. However individual genes that

No. Evolution selects based on relative fitness. Killing older members is obviously more efficient for the population as a whole. However individual genes that "defect" and continue reproducing into old age will make more copies and spread themselves more into the next generation than the "aging" genes. Even if it's inefficient and they use more resources (which isn't true, it takes a lot of effort and energy to raise a child, keeping an existing body is way better.)