all courts participate in statutory interpretation, that's how the law is applied in each and every case, often with reference to a precedent. and when the meaning is unclear the act is interpreted, not challenged- though I suppose it could be challenged, though if it were to be challenged the most the courts could do is declare the law ultra vires (out of the parliament's jurisdiction).
the high court's original jurisdiction doesn't cover all matters arising from statutory interpretation, mainly matters relating to international affairs or interstate affairs, constitutional interpretation and, if commonwealth parliament so wishes, legislation created by the commonwealth parliament.
to answer your question more specifically: probably wouldn't be resolved by the high court unless it involves an infringement of constitutional rights.