You didn't say what kind of notificationsIf you are trying to use w/out cloud. Obviously, if you want notifications while away from home, some sort of cloud involvement is a must (short of your hub turning on fire to send smoke signals). 
Inside your home, if you're using Android there may be some local notification options using Tasker and various Tasker plug-ins. No idea about iOS (Tasker is Android only).
You could use nightlights and other LED-based notifications (e.g., Third Reality Nightlight, Shelly Gen 4 US plug both have a built in controllable LED - can change colors/brightness, flash, etc.). Those and other options discussed here.
There is also a cool notification app developed by a community dev who has been deaf from birth, based on flashing lights, variable patterns, etc., could be of use to you.
For local voice notifications (and music w/at least one of them) there are a couple of options being worked on that have surfaced lately...they do require more work than existing out of the box cloud options: