That's always a possibility but I've seen my Grandpa die of a broken heart after my Grandma died. The night of her funeral he asked his children if they thought someone could die of a broken heart and after that it took him less than a year to go himself. I'd never considered that saying to be true until then but I watched it happen.
https://en.wikipedia.org/wiki/Takotsubo_cardiomyopathy
"It usually appears after a significant stressor, either physical or emotional; when caused by the latter, the condition is sometimes called broken heart syndrome"