Drawing 2D Polygons By Hand

There is an option in the Polygon Collider 2D called “Edit Collider” for editing a polygon created from a sprite. This feature is apparently broken, since I can remove but not add vertices. There is evidence that is has been broken for years. I would like to know if anyone has found a workaround, or perhaps written something that can be used as an alternative.
My end goal is to be able to create terrain in my physics-based game by drawing polygons by hand. I already found a way to theoretically render the polygons using a meshrenderer, so if I can create those polygons from scratch I’m all set.

You can add new vertices. Just hover around a line segment (when the square marker is on the line) and then drag the marker. A new vertice will be inserted and moved according to your drag.