Turn off sounds but keep haptics for certain apps

Is there any way for certain apps to disable the notification sound BUT keep the haptics, on either or both of the iPhone / Apple Watch.

It appears that turning off "Sounds" in a notification also takes away the haptics. I want a way to control this in a more granular way. Is it possible?

My use case is this: For me, there are 2 levels of notification I want to be informed of. The first is of things that are interesting but not necessarily immediate. Receipt of an email, message, whatsapp etc I would like to know when they come in but if i'm in a meeting or just generally busy at the time, it's not immediately harmful if I miss the notification and see it later. For those things, I want a haptic notification only and no sound. Then there are the very important and immediate requirements (someone rang the doorbell, my car stopped charging due to an error, someone just took money out of my bank account), things that require my immediate attention and therefore should make sure my attention is grabbed, even if I am busy. For those things, I want both haptics and sound.