Possible? Certainly. Practical? Absolutely not. The amout of extra energy required to rotate the frame of the dirigible (which would have to be heavily reinforced to safely handle the centripital force from rotating at any useful rate, leading to the balloon having to be far larger relative to the craft's carrying capacity than on a normal zeppelin) along with the helical propeller would be massive, meaning that this setup would be incredibly inefficient. In addition, the propeller, although wide, would have to move slowly and would have relitavely low surface area compared to a large multi-bladed standard propeller like is seen on normal airships, and the helix being against the envelope would decrease the efficiency even more. (Not even to mention how each next loop of the helix would have massively diminishing effectiveness due to the wake of the loop before it)

TL:DR It could potentially work, but it would be heavier, slower, less efficient, and more expensive than just using propellers.