Hi Altadil,
sorry to hear that you are facing issues accessing your FB. As for accessing logs directly from the SD card, yes this is possible. I found out about missing hard disk space in the thread[0] you are mentioning this way.
I simply powered down the FB, removed the SD and plugged it into a card reader on my desktop. From there, I could simply mount the partitions (presumably the largest will be the ‘/’ mount point on the FB) and navigate to /var/log on it to check the various log files. (NB: I am running Debian stable on my desktop which has support for btrfs, so this may not be possible if you’re using a Windows or Mac. You may be able to use a live medium in that case.)
I hope you can pinpoint the root cause of your issues this way.
Cheers,
Axel
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[0] [SOLVED] Random errors, no SSH connection - #2 by jvalleroy