It could be done, I imagine, but I am trying to imagine this. How many times will you be waken by the running into a vine that shifted? Or it getting tangled around your arms if you move around in your sleep. I already have some of this with my own hair.
I wish I had a picture of it, but a friend had a philodendron (Hope I have the name right) that as it grew, she thumb tacked it all along the walls. It was very pretty. Maybe you could do this, or use something that won't leave holes all along the wall behind your bed.