You certainly could fix the drips after the paint dries, but it's far more difficult ... because you can use longer brush strokes without having to reach awkwardly to the top of a tall door.
At Studio Kousyuuya in Nikko, Japan, there are men known as sumie (wash drawing) painters who can paint the body of a dragon in a single brush stroke. We first read about them at This Is Colossal.