Not really. Advanced armament (Ryuo, Haki flow) is, because it is, according to Hyogoro and Koshiro what allows the swordsman to become one with the blade and cut what he wishes to cut and not to cut what he does not wish to cut. CoC is just adding potency. Obviously, Mihawk should have it too at a high level, given what Zoro already displayed, but given Shanks' entire existence revolves around him having crazy ambition and humongous CoC, obviously he stands at the top until someone else displays something comparable or greater.
"Yonko" isn't an ambition tbh. You don't become an emperor because you strive for it. You just get recognized as one at some point due to incredible achievements which go beyond being an individual power house, but also gathering a crew, allies and territory, which is harder to achieve. Yonko are those striving to be the PK and stalemating each other in that pursuit.
And Mihawk himself said he doesn't want to be considered Yonko because it would be stressful and he just wants to live in peace.