It certainly is possible that the Child of Bethlehem did so, for it does snow with some regularity in the Holy Land. Riding through the Holy Land on a bus, I was greatly surprised to see how unlike a desert the Holy Land is.
Consider this picture of Manger Square taken yesterday and shared by the Facebook group Christmas in Bethlehem:
As much as I would like to be back in the Holy Land, it seems I left just in time. So far, this continues to be my first winter without seeing any snow in person.