Not without the permission of the creator, in this case. When you submit something on The Wire, you certify that it's entirely your own creation, or you have permission (explicitly) in any case that it's not. This applies to every aspect of your video, including the music. If you didn't make it, it should be royalty free - or you must otherwise have the ability to include it.
The only exception would be things that are age old or in the public domain. But Shifty would certainly not fall in that category. Just like I can't publish my unique karaoke take on Katy Perry's last album (although I would like to), the same applies here - I'd need her permission to do that. In this metaphor, Chris Kenner is Katy Perry due to their similar vocal abilities and svelte figure.