I think generally you still need to feed all the points over to the LineRenderer. I don’t think there’s any facility to tell the line renderer, “hey, slide these all down one vertex…”
There is this very-handy all-at-once method however:
You could adjust your list or array, then blast it all over all at once. They even say it is more efficient.
Also, if you post a code snippet, please use code tags to make it readable:
How to use code tags: Using code tags properly