Provided your Applecare is still valid it can be used to claim on any faulty or damaged cable. The answer is yes. Enjoy 2 years of peace of mind when you buy AppleCare for Headphones.
What does AppleCare for Apple Watch cover.
See the replacement fees in the chart below. It also covers hardware problems for three years and some accidental damages at a little or no cost. Apple Card completely rethinks everything about the credit card. Well the cable was frayed by itself and upon taking it the cable snapped since there was a thin line left.