They choose the guests for the parade Tony but it never hurts to ask - you'd need to ask a CM in a suit, but do it out of earshot of your daughter in case they can't accommodate you.
Don't forget to go to City Hall for a birthday badge when you arrive - ask there too, again out of earshot.
They also select a few guests to ride on the Jammin' Jungle parade in the Animal Kingdom.
Another suggestion- when you get the monorail, ask the guard if you can travel with the driver - someone may have got there before you but again, it doesn't hurt to ask!