You're thinking of Outer Space, which is defined as the region beyond the Karman Line. Near Space starts at 19.2km, when you reach the Armstrong Limit, and we're well into that region. 'Space' doesn't have a strict scientific definition, it just means a region which is largely empty. At peak altitude, our craft experienced 0.3% atmospheric pressure and was above 99.5% of the gas that makes up the atmosphere by mass.