I doubt it prevents it, but I think it might lessen it. I remember at one point in my teens seeing someone driving a manual Miata in traffic while putting on makeup, texting and drinking a soda, all in a car famous for not having cup holders. It was pretty impressive...
I'll concede widespread automatic usage here would lead to even more mobile phone usage.
It's common here to see people texting while driving and I don't understand what goes through people's minds to make them think this isn't a crazy thing to do?