Air pressure (in weather systems) does not migrate as such. Air pressure is a product of metrological conditions in the same way as an eddy in a stream is a product of the river flowing...
Air moves from high pressure to low pressure. This is like a balloon when you release the air. The air moves from the balloon (high pressure) to the outside (low pressure).
yes it can eg the higher you go the stronger the air pressure gets . that why when your in an airoplane sometimes your eardrums pop because the pressur is changing and your body is not used to it. it...