Based only on intuition, my guess is no. It seems more likely that husbands not working full time are more likely to have financial instability, which would be a cause of stress on the relationship.
From the second paragraph: "A Harvard University study suggests that neither financial strains [...] is typically the main reason for a split."
The headline of the story itself literally reads "Don’t Blame Divorce on Money."
This is a tricky one. Once again it could just be correlation, and "people who can't hold down a job" are more likely to get divorced, not necessarily "some person who gets fired" is more likely to get divorced, non causal as it were...