Is it possible to run zfs operations in an LXD container?

Is it possible to configure an LXD container so that it can do zfs operations on zfs disk devices that is has access to?

The use case that interests me is to use a container to backup zfs datasets using zfs send/receive.

No, zfs on Linux doesn’t support delegation/namespacing yet. That’s a thing that does exist on Solaris but never made it to Linux.