Yes, Texan here, our neighbors had their faucets dripping but lost power/heat for 30+ hours and pipes froze and burst in the ceiling.

Several factors involved—- the pumping stations lost power so water pressure fell to a trickle. Also homes in Texas are not insulated well-enough to withstand the extreme cold and prolonged lack of heating we experienced.

It was somewhat thermodynamics too— their house was a smaller 1-story house, ours was a larger 2-story house and retained heat long enough to weather the freeze before power came back.