HalfNaked,
Your first solution is to try the methods listed above. Even if you have a camera with an interchangeable lens, the method involves pretty much what was described above, by Uranium.
Every camera has depth of field. The only question is how shallow or wide you can make it. Well, "shallow" is of course a relative term -- it can mean different things to different people, depending on the situation. How shallow do you want it? Hopefully, the zoom-method Uranium described will get you what you want.
However, my intuition tells me that your are seeking something that's just not possible on your camera. I suspect you probably are envisioning a depth of field shallow enough that you'll have to try alternate methods, and basically, there are two popular methods that a lot of people are using:
First, what goober mentioned is a 35mm adapter. My understanding of how these work is a little limited, but in a nutshell, I think it's basically a way of turning a fixed lens camera into an interchangeable lens camera.
The quick and easy method is to just buy an interchangeable lens camera, but not everyone is a fan of shooting on DSLR, as they do have their downsides.
Things that will make your depth of field more shallow:
1. use a macro lens, or in your case, zoom in
2. open your aperture as wide as possible (lower the f-stop -- need interchangeable lens)
