We largely just orchestrate docker - there is a bit of glue around nginx of course - but I don't see why we couldn't support FreeBSD.
Arguably the biggest blocker is actually getting a running BSD instance - I'm going to say I've never successfully installed FreeBSD, though the last time I tried was 10+ years ago - and then potentially creating a `docker` binary that uses Jails but responds as if it's docker.
As it's open source, I definitely wouldn't mind helping someone investigate FreeBSD support :)
EDIT: Looks like there is already docker on FreeBSD, https://wiki.freebsd.org/Docker . I assume you guys have bash, so this should more or less work...