Can Hyaluronidase migrate from the area in which it is injected?

Here and elsewhere there are reviews about having hyaluronidase injected in a specific region of the face and then experiencing global negative effects. These patients report that hyaluronidase injections into the original treatment area (e.g. just the lips or just the cheekbones) has caused volume loss, sagging, and textural changes in all facial regions (e.g. one patient had the Restylane in her lips dissolved and attributes her under eye hollows to that treatment). Is this at all possible?