Yes, you can run Docker on Raspbian
Very simple steps for getting Docker and Docker Compose on Raspberry Pi 2, 3 and 4
This post has been updated on July 26 after stable packages for Raspbian Buster were released.
This post is the definitive guide on using Docker on a Raspberry Pi, something I wish I had one week ago. I have a couple of Raspberry Pi’s to provide services for my home and using Docker seemed the simplest way to deploy them. However, the number of guides for doing that on the internet is relatively low.