Not neccessarily. Humans are social creatures, our genes' survival is not solely dependent on our individual ability to pass them on, since we share genes with our siblings and parents as well as offspring. For example, families with some non-reproducing offspring may fair better due to having a higher adults/children ratio.
If such a gene existed (which perhaps it doesn't), it might benefit families who had members carrying it.
This is the same reason some species have evolved alarm-calling when a predator is nearby. It benefits the collective (who share the gene), but at an obvious detriment to the individual's ability to pass on their genes in this case.