Hi Scott,
The short answer is yes and no.
The only animatable deformation in Invigorator is adjusting Z scale. You can accomplish shearing by doing one of the following:
1) Apply a deformation effect to the Invigorator layer or a pre-rendered movie. This option may not work depending on what you have the 3D sets doing.
2) Use layer cycling to deform the objects over time. This is a very powerful option. Essentially you use Illustrator’s sheer and tweening tools to create a multilayered Illustrator doc, with each layer being a frame of animation or state of deformation of the object.
Does this help?
Jon