No, if you mean by Does Mars have a storm you mean a single continuous storm like Jupiter's "Red Dot". But it does have multiple storms all the time. read more
Mars is infamous for intense dust storms, sometimes visible by telescopes on Earth. read more
When Mars sweeps closest to the sun during its southern hemisphere summer, temperatures increase greatly; the extra energy is enough to launch dust storms that envelop large regions of Mars — sometimes the entire planet — for weeks or months. read more