In the strictly logical sense, music is always dynamic, as others have already pointed out. However, it is clearly possible, indeed frequent, for music to depict stasis. Part of why most of us enjoy music is precisely because the state of "timelessness", "suchness", "eternal present" or whatever you like to call it, can so easily be entered through music. The slow movement of the Hammerklavier, the arietta of Opus 111, much of minimalism, certain Chopin ( 25/1 comes to mind but there are others ), even some Jarrett style ostinatos, exude a serene stasis.
Or might it just be that the choice between dynamic and static is just another option, like emotion, intellect and so on, in how we respond. Perhaps, rather than being a property of the object perceived, it is all in the act of perception itself. In some ways I would not like this to be true but I rather think it is.