Is virtualbox supported on the docker executor?

I used

  docker run --rm -it -v /srv/gitlab-runner/config:/etc/gitlab-runner gitlab/gitlab-runner register

to install a virtualbox runner on my gitlab which also runs on docker. My host computer has access to the command vboxmanage, but the CI gives this error:

ERROR: Preparation failed: exec: "vboxmanage": executable file not found in $PATH

Could it be possible that it's trying to access vboxmanage from inside the container and thus not finding it? If yes, then how can I access vboxmanage from the dockerized gitlab-runner?