Hi @GNS , good if Logseq suits your needs !
Unfortunately, Logseq is now offered as an application only software. It means that there is no way to run it as a web server application for an online access to your notes, hence it’s absolutely impossible to port for Yunohost.
Logseq is now launching a new sync service to have all your notes synced accross your various devices, but that sync server is close-sourced for the moment, hence impossible to port to Yunohost too… And it will probably remain the case for some time. Some furious software engineer may try to reverse-engineer their sync mechanism, as it was done successfully for some time by the Obsidian community (I have seen some attempts here GitHub - bcspragu/logseq-sync: An open-source Logseq Sync backend implementation) but I wouldn’t bet on the long term viability of such a project, yet alone on a Yunohost port of it…
Anyway, as it was said earlier in this post, apart from a few high-end features such as versionning, you can always use any common file-sync software (a lot have been packaged for Yunohost already) to sync your files accross devices and successfully use Logseq for free while keeping all your notes personnal.
Please be warned that I’ve heard Logseq is trying to move from a file-based data to a database-based data, which may jeopardize this file share model in the long run.
For what it’s worth, after the promising Athens project was shut down, I’m currently using Obsidian as my main notes driver software (some people here will 
knowing it’s a closed-source software), with the obsidian-livesync plugin to sync my notes through the Couch DB app.