katemason Yes, there is a way to have both notification sound and vibration.
App info > Notifications > Select a notification type > Enable vibration toggle.
Now turn up your media and notification volume. Your phone will now vibrate and audio will be played either through phone or Bluetooth speakers, if connected, when that notification is received.
The default toggle position for each notification seems to be set by the app developer for each app. For example in Signal, Messages vibrate and Calls don't, and I believe that is the default for that app.