In the past I upgraded a server from Ubuntu 18 to 20 using the do-release-upgrade no issues with Hestia after the upgrade.
However, the upgrade from 20 to 22 requires a few additional items. Take a look at the documentation for OS upgrade. There is a section about this upgrade since a few minor things need to be done. I have not tried it myself yet. As always, make sure to back up all your data before.