He could have if he wanted. He was so occupied with his mission that it was not realistic. He also knew what his mission ultimate end was and a family life was not part of it. Even most of the apostles had no time for marriage. Some even left a marriage.
If you read The Code Of Da Vinci by Dan brown he was married with Magdalena, and she had a son. At the Last Dinner if you move the figures you will find out that he is giving food to her. I do not know if this is true. He also had a brother Jacob, but this is not proved either.
That's a tricky question. The NT is silent on this question, so in the absence of any evidence we have to tread carefully with hypotheses and speculations. The starting point should be that absence of evidence is not evidence for the absence. Therefore, the silence of the NT on this question is not evidence that Jesus was never married. One could make the argument that the NT speaks only if what its authors thought was important. It doesn't discuss explicitly whether any of the apostles was married, and but for two comments in passing we wouldn't know anything about that either (there is an indirect comment of Jesus healing Peter's mother in law, and then in Cor. 9:5 Paul implies the apostles were married). So what do we have to base the assertion that Jesus was never married? Almost nothing. There is just one a bit convoluted reasoning I can think if to make that case: Societal convention at the time was for young men and women to get married at 18. While some may have married a bit later, it's hard to believe anyone would get to be 32-33 years old and never married. The only way to explain someone never getting married at the relevant society is if they were momzers. In the case of Jesus that makes perfect sense: Mary was already betrothed to Jesus at the time she conceived, although not married yet. That would make it unlawful for her to sleep with any man, including Joseph. As she got knocked up anyway, undoubtedly Jesus was declared a momzer by the rabbinic authorities. That would make it impossible for him to marry, with one exception: he could have still married another momzer. As momzers are very rare that possibility, although not impossible, would be very improbable. So my bottom line is that we don't know, but I think the circumstantial evidence for Jesus never getting married is stronger.
The way in which many in the media have already covered this story and the way it will almost certainly be used by skeptics in the future illustrate the fact that many people are desperate to escape the fact that God's Word is true. Deep down they know they are sinful and they are eager to discount the Word of God so that they can convince themselves that they don't have to face God someday as their holy Judge. Yet the Bible is true from beginning to end. It is the inspired, inerrant, and infallible Word of the Creator, and we can have absolute confidence in its teachings. And while it is technically silent on the issue of Jesus having a wife during His earthly life, the Bible does not give us any reason to think He was married, and it gives us numerous reasons to conclude that He was not married.