Possibly, as the water pump will be pushing against the ice. What you need to do is warm up the engine, to keep it from freezing, as well as to thaw out the radiator. This can be done by putting a 100 watt light bulb in a low cardboard box underneath the engine, and putting a couple of blankets over the hood. If it is really windy, try to anchor the blankets down to the ground, to keep the wind from blowing under the car. Better yet, tow it to a garage where it can be warmed up. If your radiator has frozen, the engine will follow suit after a time, and this can crack the block and/or the head(s).