This is a tricky one because of how the Beast Pirates are seemingly comprised. The theme seems to be that Kaido had gathered his crew through defeating and breaking the Wills of those who serve under him. Hard to imagine that someone with CoC would submit to another due to sheer force. Whether or not this is to be the case for his Calamities though, remains to be seen. I'm more towards on the yes factor that King has it, because to me it would be weird to have a character named King, yet he doesn't actually have King's Haki, but if he didn't have it I wouldn't be surprised due to, as mentioned above.