It depends what type of pressure you mean; the stream of air has a high dynamic pressure, but its static pressure is the same as atmospheric.[1] In any case, the air is not directed at the bottom of the screwdriver but at its side. It follows the surface (Coandă effect[2]) and then creates a region of low (static) pressure near the tip when it separates. This is lower than the atmospheric pressure at the bottom; thus there is lift.
The air at the nozzle mouth is at 100 psi, and there is a high pressure region around the nozzle. It is not correct to say that the static pressure is the same as atmospheric.
It is correct to say that the static pressure is atmospheric pressure. Inside the nozzle the pressure was 100psi when stationary, the static pressure was traded for dynamic pressure when it exited the confinement of the pressure vessel.
