There’s a chance that it will but myself and others have been able to get Houston working on clean install of 22.04. It should be possible to upgrade. I’m just unsure if you’ll have to do anything on the other side.
Make sure you have a good working backup before trying. Also pay close attention to the pre-upgrade information. Ubuntu is really good about telling you what’s installing and, more importantly, what’s being removed before committing to the changes.