Well, if they're sharing the same circuit, it's entirely possible. Dishwashers exhibit nasty surges in power consumption. Even if they're not sharing the same circuit, but if the wiring is close enough, surge currents can inductively couple to another line. I know there in the UK that you often use "ring mains"; in the USA, we're more of a star topology--i.e. branch circuits extend from a single distribution panel with low current (typically 15-20 amp at 120VAC) circuit breakers. In my house, the dishwasher has its own circuit, but that's probably not true in the vast majority of older homes.