Your daughter sounds like my brother. You know the joke - he has a coffee cup with his name on it in the ER.
If it's an unusual accident, it'll happen to him. But in all fairness, I've never had the seat in a car catch on fire, because it never occured to me to rewire the stereo system with an enhanced lighting system, with cables running under the seat, just to see if I could. I've never sliced my palm open with an exacto knife, because it never occured to me to cut off the doors in a model car so that they could be made to open. I've never burst my lip on a bicycle, trying to see if I could stand on the seat.
People who think differently, have different things happen to them.
Accidents happen to everyone (anyone could have gotten the rope burn); it's the different ones that get our attention (and the quantity - the rope burn was only notable in addition to other injuries). It's not so much that your daughter is "accident-prone," so much that she does things differently. Anyone can fall out of a tree and break their arm. Not everyone, though, tries to do gymnastics on the couch. Anyone can fall while dismounting a ledge, but not everyone would think to wear their coat that way.
She'll have more accidents total, probably, because she'll have the kind of normal, everyday accidents we all have, but she'll get the unusual, I-just-had-to-try-this stuff, too. The fact that she wants to try the unusual stuff makes her who she is.
But you might want to invest in some extra pillows she can lay on the floor when she inevitably wants to turn her bed into a trampoline. And definately some knee and elbow pads for whatever she decides to take up, from rock-climbing to trick skateboarding to whatever else her unique little heart desires.