After searching the docs I could not find any info on how to send device to device messages using FCM without the use of an external server.
For example, if I was creating a chat application I would need to send push notifications to users about unread messages since they won't be online all the time and I can't have a persistent service in the background that would always be connected to the real time database because that would be too resource heavy.
So how would I send a push notification to a user "A" when a certain user "B" sends him/her a chat message? Do I need an external server for this or can it be done with just Firebase servers?
Google Cloud Functions make it now possible send push notifications from device-to-device without an app server.
From the relevant page on Google Cloud Functions:
Here is a demo project for sending device-to-device push notifications with Firebase and Google Cloud Functions.