Yes, although both cables are shielded so you'll have to be patient while you do it.
I recently built some headphone cables with Canare L-4E6S and I stripped it in several steps:
1. Cut off the outer jacket with a sharp knife.
2. Snip off a few CM of the shielding with wirecutters. After it's loose enough, you can literally push (not pull) it off of the inner bundle, because as the shield braid compacts, it expands in diameter and loosens.
3. Strip out the cotton padding between each wire -- you can remove that with a couple yanks.
Then it's just a matter of unwinding the cables onto spools. I use paper towel tubes.
Thank you so much for your help.