Hi @jonas1,
Welcome.
Is it possible for you to turn this into a reproducible example (reprex)? If you use the reprex package it is quite straightforward and having the code you've tried and some data that runs with it and illustrates the issue you are having makes it easier for people to help you with your problem.
Have you tried using both geom_path and geom_point to plot the same data? You could then jitter the points only.
Ron