I think it's not possible. I looked for a way to trigger shortcuts automatically too but seems like they can be triggered only manually.

https://support.apple.com/en-gb/guide/shortcuts/run-a-shortc...

Here one describes a way to send a push notification with a link and when he taps the notification, it starts the shortcut. But still, you need to tap...

https://apple.stackexchange.com/questions/337309/how-to-auto...