Absolutely. While Zoster is more commonly known to cause post herpetic neuralgia and pain, it's been reported to cause other neurological problems including numbness and weakness as well.
Source
Quisling, Susannah, et al. "Magnetic Resonance Imaging of Third Cranial Nerve Palsy and Trigeminal Sensory Loss Caused by Herpes Zoster." J Neuro-Ophthalmol v 26. 2006.