No. It took Zoro's powerful Ryu/CoA haki combo with ACoC to break King's sword. That's a much stronger attack than the one that scarred Kaido. King was using CoA haki.
Zoro ACoC sword clashed with King's CoA sword.
Zoro CoA sword clash with King's CoA sword.
Zoro CoA/ACoC cutting/breaking King's CoA sword.
Even at the beginning of there battle King's none haki coated sword didn't break.
It doesn't matter how you look at it the answer is no.
With that said, it's time to close this thread.