Actually, quite the opposite. The pressure drops as one increases elevation. For example, at 40000 ft, the elevation a plane might fly, the Pambient will be 18.75 kPa, much lower than what is seen at sea level (101 kpa or one atm). At 18 km up, the pressure will be somewhere around 7 kpa, and above this level, it drops dramatically. It is the reason why people who climb Mount Everest need air tanks for oxygen. As the elevation goes up, pressure and temperature go down, and, according to the ideal gas law, less air is present at the summit of Everest. Hope this helps!