A non-variable pitch propeller blade has a constant pitch angle relative to the motor shaft, similar to how a fixed-wing aircraft wing has a constant angle of pitch in relation to the aircraft's fuselage. In both cases though, the airfoil's critical angle of attack depends on the direction/speed/density of the airflow relative to the pitch angle of the airfoil.
Sure, it's not common to see propeller stall in multirotor drones, but there certainly are conditions that will result in this condition. Simple example, if you add too heavy a payload, no matter how much power you apply to the motors without also adding larger propellers, there is a limit to how much lift can be produced. Those prop blades will stall.
Or, even without additional payload, reducing power to below some critical level will cause the blades to stall and the drone will fall out of the sky.
Propeller blades can be forced to stall during certain flight manoeuvres, no matter how much power is applied to the motors. It has nothing to do with variable pitch propeller blades. It's all about the speed and angle at which the airflow is introduced into the propeller blades.
Do a search on "Vortex Ring State", or check how many people have reported crashing their DJI
Avata due to "Yaw Washout".