I believe not, but my teacher believes so. if you read the stanza, the Mariner is talking about the motion of the souls as they pass, not the SOUND they're making.
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I have to say I think that the 'whiz' is also an example of synasthesia as well as onomatopoeia. The 'whiz', I feel, represents both the sound AND the motion. Synasthesia is (simply put) the linking of two or more senses. Here I think the mariner feels and hears the passing of the souls of the crew.
'The Rime of the Ancient Mariner' - ST Coleridge