On Xbox 360 is it possible to change the music in minecraft?

You can turn it down in the options, or you can upload your own music files to the XBox. You can connect a phone, flash drive, or computer to the 360 using a USB cable, then either play directly off of a phone or use a computer to store the files on your Xbox hard drive. Then hit the guide button, go over to the music panel, and your music should be right there for you to play.