Yes, the watch has 2GB of storage that can be used to store music on for bluetooth playback without a phone nearby, and the watch can use its motion sensors for step-counter purposes, which gets added to the health app on the watch which works with the health app on the phone. You won't get GPS without the phone, though (so you'll get steps made and stairs climbed and stuff, but not distance moved or length of strides, like you'd get with a phone in your pocket).