How do I generate lines automatically joining sequential points?

See this demo:

howtoconstructdemos.com/draw-a-path-on-the-screen-and-move-your-character-along-it

you can instantiate 4 objects each with a specific number as in the example, and 3 small objects that served as lines, then create an event that when starting the layout defines the positions of the first 4 objects, each for a different x and a random y within the layout range, then make an event so that the other 3 objects assume the position of those objects with numbers (the first 3), then make these objects assume the angle for the next numbered object, then create another event that at each tick and as long as it does not collide with the next numbered object, add 1 pixel to the object's width

Thank you very much for your answers dop2000 Snakegbr, both gave me ideas on how to achieve it. It may not be the best way to do it, but this is what I got in case it helps someone

https://drive.google.com/file/d/1itDNdinOLxSuMMq2nM9vo4wpfq6bkYP9/view?usp=share_link