Yes, BUT the pain is they will ask to take your whole TF10 back and you WILL be without them for a week or two. BUT in an exemplary case of inefficiency, they don't replace your cable, they send you a whole NEW retail TF10! Which is great if you like new stuff fresh from a box, but it offends me in the waste of it all.
In my case I got very lucky and they sent out the new box WITHOUT making me send the old ones back, so in effect, I had a new spare pair of TF10s, which was awesome. But I did pay full retail for them and bought them direct from logitech. Still, I sold the new boxed ones which reduced what I paid for my TF10s which I kept after ordering a spare official cable online. Sometimes it's great when stuff like this happens, otherwise a perfectly good pair of TF10s would have probably gone in the bin once it was sent back.