Yes. One team did it last year. The Blues. They went 1-7-1 (.167) in October/November.
Vancouver came close: 2-5-5 (.375) in January.
Chicago almost did: 3-7-3 (.346), before the Bulin wall took over from Huet for good.
Detroit almost did, but only if you look at a shorter run: 2-5-1 (.188) to end the season. But if you look at 12 games in a row, Detroit's losing streak wasn't long enough to compete with the Kings'.