Eh…YES! That's one of the first things my wife looks for in a 2-story. Is the laundry room upstairs. With 3 kids, hauling laundry up and down the stairs all weekend long gets old real quick. Never thought about the leak issue, but then agaiin the same problem can happen in a bathroom.
More likely in the laundry room than a bathroom. The hose connecting your washer to the faucets typically are hoses slightly better than your garden hose. Ok, that's an exageration. But those hoses (typically rubber), crack over time and burst. It's much more likely for this to happen.