To be considered music, sound must have at least one of the following three qualities: melody, harmony, or rhythm. As different words can hit different notes, language would seem to have melody. Also, speach tends to have natural rhythm. So yes, language can be seen as a kind of music.
Actually, nowadays with all of the weird shit going on in the "experimental" music field, I don't think these laws apply anymore. I think music can just be any form of art... Hell, there are even bands who use their instruments to make SOUND (http://myspace.com/fatwormoferror) rather than any form of traditional music whatsoever. So, to answer the original poster's question, I believe it definitely can. It can speak to you, make you feel anywhere from confident to aggressive to slap-happy, as well as being many people's number 1# source of comfort or joy. It's more than a language, it yields more power.