Yes, lantana will root from cuttings. Take 3-inch tip cuttings in mid to late summer. Be sure to take greenwood cuttings, and take them from stems that haven't produced flowers.
Dip the cut end in rooting hormone and plant in a rapidly draining medium, such as sand or perlite. Remove any leaves that would touch the rooting medium.
Cover with plastic to help keep in the humidity, and place in a brightly lighted area, out of direct sun.
The cuttings may root better if you provide some bottom heat to the containers. They root best when the ground is about 65Ã‚Âº to 70Ã‚Âº F.
"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams