Could Dennis Rodman Marry Himself?

Remember Rodman claiming that he was bisexual and was going to marry himself, way back in the simple days of 1996 when Democrats were neither trying to force every state to accept gay marriage nor claiming that it is a constitutional right buried in the 14th Amendment?  Remember those backward times?

Well, could Rodman have married himself?  One can love oneself (I plan to blog about self-love in the coming week.)  One can have sexual relations with oneself.  One can promise to be committed to oneself.  So why can't one marry oneself?  If marriage is not a natural kind of relationship (like the friendship relation, which can hold without government or societal sanction, recognition, or approval) but is merely a social construct, then surely one can marry oneself.  In fact, potential marriage relations on this way of thinking seem limitless.  It's almost as if we humans are godlike in our creative capacities.