Is it possible to write music in Lilypond in free time and if yes how?

I have a piece without metrum where notes with a specific pitch appear
at a specific time and have a specific length (see the attached
picture) but there is no metrum.
How to write something like this in Lilypond?
I found information about  graphical notation which does not seem to
fit since the notes have a specific pitch.
The nearest would be the Unmeasured prelude
(https://www.youtube.com/watch?v=lqvm0k2VUtU) but this can't be
written since only one slur is allowed at a time.
The best method would be beams instead of notes but how to do this?

Thanks for your help.
-- 
g

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