yeah... in fact - they give the drywall mounts as part of the package. Here's the response the company gave me directly
"Yes, you can mount to dry wall by starting the hole with the screws that we send along and then use those holes as starter spots for the wall toggles that are also included. Let us know if you have any other questions.
Anne"
I think I'm going to Daddy's to get one tomorrow! (Now where to hang it...)