Completely doable, but I only have a theory of how. You'll need to control the flow of the raw bytes of sound sent to the output line and feed those bytes backwards. And I can tell you its more complicated than just reading the file in backwards, the whole thing may need to be processed before playback.
Hey! Obviously doable. You should try Java Media Framework (JMF). They have a lot of samples. This is a complete solution for sound.
Link: http://java.sun.com/products/java-media/jmf/
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