So, is there any way for a goldfish's broken fin to heal? One of my oranda goldfish's pectoral fin is split down the middle, rendering him unable to swim very well. He usually floats at the top and doesn't swim as much as he used to when I first got him; he just floats. He still eats, tho, so I suppose he's okay. Also, his other fins aren't spread out like normal goldfishes; they're clumped together and not moving very much.

Any suggestions? :C

I doubt the problem with the oranda's swimming has much to do with the fin. You mentioned a lot of symptoms that are related to bad water quality and/or bad diet.

How big is your tank? How many fish, what kind of fish? How often do you change the water and how much? Do you have a gravel vacuum?
What are you feeding your oranda? These fish are very round and have sensitive swim bladders for this reason, if the only thing she eats is flakes/pellets, that's the wrong answer. In that case you need to feed her with some shelled peas, squash, blood worms or tubifex every once in a while. There's a thread here on the forum on how to feed veggies and which ones to feed to the goldfish.