The pressure of what? The atmosphere? I don't think so.
Well then, imagine this. You have a room that is a total vacuum. You open a window on one side of the room. If you have pressure sensors all the way across the room, do think they would show the psi snapping to full atmospheric pressure in a wave, or do you think they would show a the lowest pressure at the farthest point, increasing as the distance to the window decreased?