Yes you can. Crossing state lines to carry out a pre meditated crime is a FEDERAL OFFENSE.
But these are laws the GOVERNOR of FL is talking about imposing as STATE OFFENSES.
And even federal law cannot impose stiffer penalties on a GA resident than a FL resident for the same offense. Crossing state lines to commit the crime may be a (federal) offense, but the crime there is crossing the state line, not being a resident of a different state. Again, though, that only is a matter of federal law. FL can't do that.