Is QNE pressure altitude?
That is not correct. There are three different altitude systems:

True altitude is the height above Mean Sea Level (MSL). This is what you get when you set your altimeter to QNH. Using this, your altimeter should read 200ft when you are on the runway if the airport elevation is listed as 200ft MSL.

Absolute altitude is the height Above Ground Level (AGL). This is what you get when you set your altimeter to QFE.  Using this, your altimeter should read 0ft when you are on the runway.

Pressure altitude has no relation to the ground or sea level. This is what you get when you set your altimeter to QNE (always 1013 or 29.92). You never use this near the surface of the Earth, only when up high enough that terrain or obstacles clearance isn't a concern. Pressure altitudes are expressed as Flight Levels (FL), with the last two digits omitted.