Is it possible?

Is it possible to become lactose intolerant during pregnancy? Because all day was a good day until I decide I'd have a glass of milk. About 30 mins later I was sick with nausea and throwing up. I've started to notice over the past few weeks that dairy makes me more nauseous then I already am. So does anyone know if I could become lactose intolerant during pregnancy or is it just normal morning/all day sickness?