It depends on what you mean, if you are speaking of defining a spectrum to represent the sea state then you are right there are some spectrum that are one parameter spectrum e.g. ITTC and ISSC.
However, from the understanding of significant wave height which is often assumed to be equal to H1/3, there exist a corresponding period for the wave distributions
(H1/3 is defined as the average height of the one-third highest waves and its corresponding period is TH1/3 average period of these waves)