Yes, cloning a standard Bluetooth beacon (iBeacon, AltBeacon, Eddystone-UID) is super simple. See my related answer here where I described cloning one a the Apple Store to trigger a welcome message in their app.
Since the above beacon types are advertised in clear text (no encryption), you can think of them like a road sign or billboard. Just as you can't stop others from photographing a sign, you really can't stop folks from reading a beacon identifier and making a copy of it.
What's more, the iBeacon identifier, for example, is only 20 bytes. Copying it is about as trivial as it gets.
There are other beacon formats like Eddystone-EID and Gimbal that have a cryptographic hash in the advertised identifier that cannot be easily cloned.