Not yet, no cloning tool supports the way Catalina is installed.
For what it's worth, I was able to use the DD command to migrate Catalina.
My external drive (firewire hdd) was the same exact size of my NVMe drive so it made it easy, but I think there is a way to re-claim the space if you are moving from smaller to bigger.
My understanding is that you shouldn't have both drives connected to the same machine afterward because their may be weird APFS ID things, but it worked fine for me.