Absolutely.
In the seven years I've been keeping chickens every winter we've gone sub-zero at some point or another.
I've had frostbite on two males. The first time it was -23F and my single comb rooster got a mild case of frostbite dubbing. The second time was last year when a cockerel with huge wattles dunked them into the fount waterer and the ends froze. Other than that, I've had no frostbite in my flock.
I have approximately 17 sq ft of permanently open ventilation in the ridge vent, gable vents and soffit vents along with two windows cracked open away from the roosting area and two pop doors that are kept open year round. I have no insulation in my coop.
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If you have adequate ventilation over your birds heads with some way for fresh air to come in down low you should not have any frostbite. Also, keep the coop is dry as possible. If you have any water source in the coop at all it needs to come out.