It is possible, yes, but the evidence either way is inconclusive. In a recent finding, a fragment from a document has been discovered that seems to show Jesus referring to 'my wife' in the Coptic language. Of course, that doesn't prove that he was married either.
On the other hand, there is no proof that he wasn't. The surviving materials, on which the gospels are based, don't mention that he was married, but neither do they say that he wasn't - the first claim that he led a celibate life was made 200 years after his death, by Christians who had come to believe that celibacy was desirable.
It would have been unusual for a man in Jesus' time and place not to be married, but again that is no proof that he was. Since The Da Vinci Code came out a lot of people have believed that he was secretly married to Mary Magdalene, but again there is no evidence for this.
Unless and until further evidence comes to light, we will never know whether Jesus was married - but to come back to your question, it is possible.