Water can certainly be driven inland by some titanic weather events, but in terms of regular and periodic tides, it's primarily the moon and sun. Atmospheric pressure certainly plays a role, but only in shaping the tides, not in their creation. Winds need to be sustained at a high level to drive water inland, and even then, while it is devestating to people and their welfare, it's not a vast event really.
Remember to think of the Earth's atmosphere and oceans as the fluid systems they are. Convection is a constant, as is the coriolis force as Atronuc mentioned. If the Earth somehow didn't experiene Coriolis force, there would still be wind, but cyclonic winds on a large scale would be rare or impossible.
Finally, it's not just the "pull" of the moon "lifting" water... it's interaction between two fairly large masses (remember the moon is about 1/4 the mass of the Earth... no slouch), and the sun plays its role on a slower scale reflecting the period of our orbit around it.