Yes,.. the version of Daz Studio4 which is currently available for free, along with Bryce and Hexagon is the full “Pro” version.
If that’s the one you have,.. then you have the Pro version, and Morph loaded is part of that.
If you go to HELP / About installed Plugins
you’ll see a list of all the plugins included in the pro version, and Morph loaded Pro, should be there.
Hope it helps