Yes, herpes can affect the eyelids, conjunctiva and even the cornea. If it occurs in the eyelid, there will be blisters along the eyelid margins. If it occurs in the conjunctiva & cornea, there will be redness, tearing, discharge and blurry vision.
For accurate diagnosis & treatment, I would advise patients to seek the consult of an eye doctor. He/she will be able to prescribe antiviral medications (either in the form of topical ointments or oral antiviral medications).
I hope that this was helpful to you!