However, as unwind mentions, the researchers in the article claim it's possible.
A number of people have built and demonstrated so called 'half prop' helicopters based on the same principle. If you have ever seen an maple seed fall you can understand the principle, search for 'maple copter' on Youtube for some videos of them in action.
In the meantime, the actual linked-to article says "yes":
This new approach allows such a vehicle to remain in flight despite the loss of one, two, or even three propellers. Having lost one (or more) propellers, the vehicle enters a continuous rotation — we then control the direction of this axis of rotation, and the total thrust that the vehicle produces, allowing us to control the vehicle’s acceleration and thus position.