YES! absolutely they can live through winter. You didn't say where you live, but I used to live in NW Colorado where temps below zero are common at night and occaisional during the day. My coop was protected from the wind and able to be closed up except for ventilation but was not insulated. They keep themselves warm by huddling and would even come out during the day to browse the snow for whatever they could find...usually including more treats from "mom" Make sure you keep their water thawed and maybe a little warm and have plenty of food available. It always made me feel better to give them treats like spaghetti or hard boiled eggs.
good luck and get enough chooks to keep themselves warm.