The answer; not really BUT it is ill advised to force your eyes open in excessively frigid temperatures especially with gusty winds as your cornea can freeze or your contact lenses can freeze to your eyeball.

Luckily, any damage usually heals within weeks if not sooner, but not always. There are those that have tissue loss and need restorative surgery. So, it is best when outdoors in extreme cold temperatures like we are experiencing now to wear proper goggles or eye wear to protect your eyes.