Yes wind chill and wind can cause pipes to freeze and even without the wind if the temperature is low enough outside as in below freezing the pipes can and will freeze if not insulated and protected from the cold.
The wind chill causes pipes to freeze faster because the wind cools off the pipes faster than it would if it were not windy out.
When it's expected to be below freezing always allow your faucets to trickle throughout the day or night when it's below freezing and protect and insulate any exposed water pipes.
You should also buy some heat tape that comes on and warms up the pipes when it's below freezing.