Yes. Since the cable doesn't have its own serial number they can track back to a purchase, make sure you have your iPhone with you. You should probably make a Genius Bar appointment instead of just walking in. The Specialists might be able to swap it out for you without an appointment, but that's never guaranteed.Thanks. Where would I go to get it replaced, the Apple Store?
I got my iPhone USB cable (actually, I'm not sure which device of mine it belongs to) replaced today. The genius didn't even care to ask my serial number. I gave him the cord and he grabbed one out of a retail box and handed it to me.
Let us know how it goes!