Swing between two points

I have two positions. One is a stationary point. I have a line renderer that I draws a line between the two of them. I wan't the second point to swing from the first point like its the end of a rope, without adding any hingeJoints. How would I be able to do this? I'm making a grappling hook that sucks in the second point closer towards the first, and I want it to swing realistically.