Isn't any Christian Church the Church of Christ? If it's not of Christ, it's not a Church. So I guess it depends on what you mean by "Church of Christ". Do you mean the "United Church of Christ", a Protestant denomination founded either in the 19th or 20th century. Before then, there was no Christian group preaching the things that make this a separate group.
The sad fact is, Protestantism, with its false assumption of sola scriptura with private interpretation of each individual alone with the Bible leads to endless denominations, divisions, schisms, heresies, errors, factions, sects, and cults. Some of these even deny the Trinity, the humanity and divinity of Christ, and the virgin birth of Christ, and His resurrection.
The sad fact is, Protestantism, with its false assumption of sola scriptura with private interpretation of each individual alone with the Bible leads to endless denominations, divisions, schisms, heresies, errors, factions, sects, and cults. Some of these even deny the Trinity, the humanity and divinity of Christ, and the virgin birth of Christ, and His resurrection.