No. The Moon barely has any atmosphere that could exert any kind of pressure. Also, the Moon is about 1/6th the size of the Earth, so it's gravity doesn't exert much pressure, atmospheric or otherwise.
Earth's atmospheric pressure is the amount of pressure exerted by air on the surface at sea level which is measured as 101325 pascal or 1.01325 bar (1 millibar= 100 pascals). The planet Saturn has a...
It's not even close. Earth has about 81 times the mass of the Moon, and six times the gravity; which is why you'd only weigh one-sixth as much as what you do here.