Okay, all that said, I'm pretty sure I saw an "illegal" wedding at SBP last time I was there. . . Perhaps the right thing to do would have been to report it, but I just smiled and kept walking. It's not what I would want, nor do I think it's worth the risk, but it is done.
I'm sure you can! If you did it before 10am or after 7:30pm you shouldn't have a problem. And you know how Disney is they wouldn't want to cause a scene. I don't think they have security patrolling that area. Good Luck!