Of course it is.
If Jesus was married, why would anyone lie about it? What possible motive could there be?
If one wants to be cynical, the Petrine faction would have had excellent reason to lie. As it was they were having to deal with James the Just coming in after the resurrection and taking charge of the church. If Jesus had married that would have strengthened the claims of James to the leadership. Both the Pauline and Johannine factions had their own theological reasons to insist that Jesus was celibate. And if James wasn't enamored of Mary Magdalene, he'd have reasons too to also avoid such claims as he might have had to consummate a levirate marriage with her. Even Mary Magdalene would have reasons to minimize any carnal relation as it would have ended any hopes she might have entertained to be seen as an apostle in her own right.
None of which constitutes a good case for the possibility, let alone proof, but it provides the seeds for all sorts of horrid literature, both that which is avowedly fictional and that which pretends it is not.
