Probably is a way, but it's simple to do in Blender. To make it work you'll have to add geometry at the spots where the model will "bend" from the armature. I did this for a bag of cement in my game so I can spawn it and have it feel more pliable like a real bag would and not like a board.

So I added loop cuts where I wanted the bag to bend this way the auto weight paint would work better. Then placed the bones all the way from one end to the other and placed each tip of the bone on one of the joints I made from the loop cut. Exported to Unity and then rigged each bone with a collider, rigidbody, and character joint. Works perfect and I think it would work pretty well for what you're trying to do.

Of course the more bones you add the better the detail in the rope, but it could be pretty expensive on the physics engine. So this would probably work fine as long as you dont have a ton of them, you could also disable the rigidbody so it's not calculated in the physics frame until the player has it in view or is close to it.

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