Yes, but the key ingredient for human lying is a theory of mind, and a theory of mind is difficult to formulate without your own consciousness to generalize from. To get to even the motive for lying in the first place, you'd need awareness.
For a philosophical zombie, you'd need this behavior to exist independent of the zombie having a theory of mind and conscious awareness which they can use to reason about the state of another's awareness. That's a lot leaps of faith to take.
This "theory of mind" can be called "imagination" in a limited form. Allowing our conceptual self to act and predict what will happen is key to "consciousness".
We don't need to die by walking off a cliff, if we can have a conceptual version of ourself walk off, imagine the result of walking off the cliff and choose not to do it.
Yes this expands consciousness to animals, but I doubt it goes much farther than that. I think it fits.