The 5600 battery has a little tab that would need filing off to fit in the 5500. There's probably nothing in that tab, but I'd still be extremely warey about filing bits off a lithium battery casing. Lithium can be quite volitile (See reports of exploding Nokia batteries).
I have no idea how you'd make a new casing. On the 5600 the part of the back half of the casing surrounding the battery is raised, so that actual battery cover still slides over the battery and locks in place like the 5500. The problem with a 5600 battery in a 5500 is you couldn't have a cover that slides over the battery because it sticks out, so how you would lock it in place I don't know.
Also the 5600 has two pegs at the top of the back so that it lies more or less level on a flat surface.