Hi @bundito, welcome to the forum! Sorry to hear about your data loss.
If you are asking about running Duplicati in a Docker container then yes, that’s doable (at least it with for me). I use it to back up my unRAID NAS files to an off-site location.
If you’re wanting to run Duplicati on your Synology box you may find using their package easier to with with than a Docker container.
Of course, there’s no reason you can’t try out both and see which to prefer - just don’t try to share the same destination folder.