Yes, but because of increased risk of disease and lower physical ability, you would also be a larger strain on your group/family. I think we should see this more as a survival of offspring and less as fathering more offspring.
There's probably pressure for species to not have longer lifespans. Youthful thinking and fresh perspectives are important. Wise old perspectives can get deeply ingrained and can't be changed easily. The free market for example experiences similar phenomenon where a new startup will outcompete a big old corporation. An industry that moves quicker (tech) evolves faster than one that doesn't (healthcare).
The evidence doesn't support what you imply: that older people can't learn or come up with novel ideas. Fresh perspectives are important, but there are more ways than ignorance (e.g. youth) to find them. For example, cross domain work often yields amazing new results; it's a great way to bring in fresh perspectives.
In evolutionary terms you become a competitor with your male offspring for reproduction, which may hinder natural variation.