No these are the earliest handwritten copies that have survived throughout the centuries. There is a lot of evidence involved in dating the New Testament texts but even the most skeptical scholars grant that a number of the books were written in the first century within a couple of decades after Jesus’ death, claiming that others were not written until the second. Their evidence is weak, in my opinion, and the early statements of the church fathers place all of the New Testament writings in the first century.
You on the other hand were saying that Constantine just made them up and started Christianity and the church in the fourth century. If the copies were already there as well as numerous references to them and Christian activity in general as of the beginning of the second century, you are refuted.
I am not saying that at all. Constantine decided what books would be allowed and those that would not. He accepted Christianity, but on his terms.