No. Old people are bad about dyeing not long after they lose their life partner, but the death isn't mental, it is purely biological. They mentally lose the will to live and will basically sit in one spot mourning without food or drink until their body naturally dies from lack of nourishment or provide themselves with less than adequate nourishment as their mind is in torment and slowly die. It is the mental state that drives it, but it is biological processes that spell their doom. That or they just kill themselves. Family support is critical.