Realistically getting Docker to run on WSL 2 involves running a few standard install steps from Docker for installing Docker and Docker Compose v2 on Linux (such as Ubuntu, Debian or whatever distro you prefer) and then adding a 3 line shell script to your ~/.profile to ensure the init.d based Docker service starts when your WSL 2 process starts -- that's it.
I've been running this set up for months, it's super solid.
I personally run Windows 10 Pro which does have Hyper-V enabled (I use Hyper-V for standalone VMs unrelated to Docker) so I can't disable it to check for you but I'd say I'm 99.99% sure it'll work without Hyper-V because this is focused on running an application (Docker) inside of a WSL 2 environment. If WSL 2 is available to run then Docker can run in it because WSL 2 is providing the Linux environment. There is no separate VM running Docker.
Try it out and let us know.