No.
First of all I don't know what perfect means, but let's set that aside. If he created a duplicate of himself, and the only difference between himself and his duplicate was, let's say, they were standing 5 feet away from each other. Well that difference in location would be enough to distinguish between the two, and the law of identity would remain unbroken.
Anyway I don't see what this has to do with the argument. And if he wanted to create something to be eternal, why would he need to go through some sort of process? Why would his creation need to "become" eternal; why couldn't he instantly make it eternal?