Yes, based on my migration from a Raspberry Pi to a mini x86 pc. A full backup contains a complete snapshot of that moment and all your configuration, history, and all add-ons and their data. I think HACS came across too, though I can easily be misremembering.
The restore looked like it tried to do everything but my large database add on (PostgreSQL) gave it grief so I ended up restoring components separately. The backups did work overall though, and after a few reboots everything worked.