No it isn't. You are the only person in the entire world that ever says you drink anything out of a spoon. The proper English usage is eat soup. No one besides you claims to drink soup, because it is impossible. Soup is a food.

And no I would not drink soup out of a cup, because you do not drink food. That's ridiculous. Restaurants have been known to serve soup in cups, but it is still a food when thus served, because one eats it with a spoon, unless one's name is Lonny BoB.