I'd say that the converse is more true: Lack of money is likely to cause UNhappiness.
Poverty is pretty much always a miserable place to be. I've made a lot of compromises in my life to avoid going back there, and I'm sure that I will continue to do so as long as I retain free will.
Wealth doesn't buy happiness, but I believe that a certain level of financial security is necessary to maintain it. My idea of that level really isn't especially high, but includes a home in relatively good repair, a reliable and relatively safe vehicle to drive and fuel to drive it; heat in winter, a/c in summer, health insurance, decent shoes that don't hurt to wear, and not going hungry.
Well said.