Not sure about the standard radio if you can stream or not. If you have the UVO system I know it can, do it all the time.
As for a cable, you can use a USB cable to connect your phone to the system, but it doesn't work like an iPhone does with the controls etc. It just looks at your phone like a USB stick and plays the music you have from it. I did it once, took a bit for it to scan my phone, but ended up not using that and just streamed via bluetooth.
I stream with the standard unit in my 2012 LX. I use the iPhone 5 but I don't assume you would have any trouble with the S4. The audio streaming surprisingly is decent quality. Leaps and bounds better than the Jeep Liberty I test drove before I bought the Sportage.