

There is no such distribution. And it’s not surprising. That is essentially one package with runc. I also recommend using an podman instead of docker. Then you won’t even need to do anything except apt install podman / dnf install podman.
UPD: At the moment, even systemd supports containers. systemd-nspawn daemon…
Short answer: Yes. and you can install extra/podman-docker 5.5.2-1 ( Emulate Docker CLI using podman ) for full compatible.
Long answer: you can find all in official docs. https://docs.podman.io/en/latest/ . in general, the first step is always better not to ask abstract question in Google, but to read the official documentation