Its like asking if a guy can move from 'friends' to dating with a woman. Yeah, it can happen, it usually won't, and if it does, the odds are she was somewhat attracted to him right from the start (though timing may have prevented more).
A guy has to be MORE interested in a girl to want to date her then to do FWB. So some girls you might do FWB with but be open to more, especially if you start wanting a relationship. But other girls you'd never go further with because you aren't interested in them enough. The threshold for a young woman to pass for a guy to be willing to have sex with her is not very high. So most girls you'd have sex with (if you do casual sex) you would not actually date. But some you might.
It can go to relationship but it might raise a lot of questions like, who else are you friends with benefit with? are you this friendly with all the guys that you know loool? and its just goes mad when you have feeling for the person but they are still on a friends with benefit mode and etc.
It's possible to go from FWB to a relationship. However, if you have your eyes set on a guy, and you HAVE YET to sleep with him, I would wait. Your chances of getting into a relationship with him are better if you hold off on the physical stuff. He'll respect you more, you will be more likely girlfriend material than if you sleep with him.
It is REALLY hard to move from FWB to relationship, but if you are willing to stay with him and continue to be FWB for a long time, then yes it can happen. I am proof that it can happen =) However, it was not my decision to be FWB, it was his. I did not want to be FWB I am more of a relationship type and he was not. I also agree with what a guy said on here, they have to be more interested in you and you also have to be different than other women (stand out).