Will this specially shaped can produce any lift? I am wondering if a specially shaped can will produce any lift as it moves through the air.
Please reference the drawing below:

This drawing is showing a hollow can that has been cut so that it will have one side that is higher than the rest of the can. The top of the can is open while the bottom of it is sealed with a plate. This higher side of the can will be moving into the wind as the can travels forward. The can will not be angled, the bottom of the can will remain parallel to the the air flow. Also, the can will be made of a very stiff material so that the higher side of it will not bend backwards.
I believe what will happen is that the air flowing over and around this higher side will lower the air pressure inside of the can and the higher air pressure located below the can will be pushing up on it thus creating lift. I'm pretty sure that this is what should occur, yet I'm asking this question to get verification on it because I am not an engineer and I have a limited knowledge of aerodynamics.
EDIT
To keep the can held firmly in a vertical position so that it doesn't topple over in the wind and to keep it perpendicular to the ground, it could be attached to a side of a car like how a car's side mirror is attached.
Any body that is asymmetrical w.r.t. the flow field will produce lift, possibly negative, but certainly not zero.  To estimate the sign and magnitude of the lift, this body is simple enough to just build and try from a moving car, instead of theorizing or running a CFD simulation.