There's a fault in your logic; nobody can draw paintings. I think that your question is if people paint paintings.
Some of them are, some of them aren't, just like any other type of art form. It's like asking if only 'normal' people paint realistic paintings. I couldn't draw a realistic drawing or painting if the world depended on it, and I'm 'normal'. (I'm assuming your definition of normal; everybody's different, there's no such thing as normal, but I think that I can understand what you're trying to say. And that leads to the question of what a 'mentally ill' person is. Do you know? I know the official meaning of it, but is there such thing?)