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.