A wall cloud in a non-supercell could be anywhere, so don't let that part knock it out of possibility.
A non-rotating wall cloud (i.e. a wall cloud in a non-supercell) is simply the lowering of the base where the air is rising into the storm. It has no meaning when it comes to severe weather. It has no significance in any form, other than saying "That's where the inflow to the storm is going up."
ONLY if a wall cloud is rotating is it an important feature.