I'd like to be able to quickly disable and re-enable notifications in
the KDE Plasma desktop (Kubuntu 19.04)
I don't know if this is quick enough but ...
Kubuntu 18.10+ has kubuntu-notification-helper:
Kubuntu Notification Helper is a daemon that presents various
notifications to the user. It uses the KDE Daemon system as a base and
presents the notifications using the KDE Notification system. It also
includes a System Settings module for configuring the daemon. Kubuntu
Notification Helper is lightweight and fully integrated with KDE.
Current features include:
- Notifications for Apport crashes.
- Notifications for upgrade information, when available.
- Notifications for the availability restrictively-licensed packages.
- Notifications for when upgrades require a reboot to complete.
- All notifications can be hidden temporarily or permanently.
You can access this GUI via a terminal by running
kcmshell5 kcm_notificationhelper
The image below is from Kubuntu 19.04 with Plasma 5.16.2 (which is provided by the kubuntu-backports ppa.)
GUI for managing certain notifications

Alternatively, open System Settings and search for "Other notifications" to get the same GUI.
A: Turn off notifications for specific applications (like Slack or Spotify, for example) B: Turn off all notifications temporarily.
At least that I can see. Am I missing something?
– Andrew Jun 29 '19 at 16:41