I agree with some of the answers. First, you need an alleged father to compare the son's DNA with him, it is the degree of coincidence that the father will say or not. Since in religious terms, the father of Jesus is God, a higher power, then there is no need to talk about DNA. But if you make a genetic analysis for origin, then the result will be interesting for everyone, because you can trace where his more ancient ancestors came from. But this is a theory that will not collide with practice, which is probably a good thing.
Well, the paternity test is possible if the father's material is available. The paternity test only gives the answer THIS or not, and does not give the full name, address and passport number.
Let's think logically: how can we determine that the bones found in Jerusalem belong exactly to Jesus Christ? From the point of view of believers, this is impossible, since He ascended to heaven in the flesh (like the Virgin Mary 15 years later). From the point of view of science, proof, as far as I understand, can only be DNA analysis, but with whom to compare? And according to other criteria you cannot define it; they were found crucified, but these remains did not become a sensation and "candidates for Jesus". Of course, there is also the Turin Shroud, but atheists will scornfully curl their lips and scoff at this argument.
And about chromosomes, nun Eugenia once remarkably answered:
TheQuestion: Need an Answer? Ask TheQuestion
The result will be "a little" predictable.
It turns out that there was no immaculate conception. And the biological father of Jesus is some local fisherman. Although, believers always have an excuse =)