Hi,
Yes of course you can make cut out cookies using the sugar cookie mix. The recipe on the package askes you to use 1/3 cup softened butter, 1 egg and to add 1 tablespoon of flour. That should make the dough stiff enough to roll out.
http://www.bettycrocker.com/recipes/snowy-heart-cutouts/1926b7d6-f0f6-4f1b-bec9-817d08c2ab21
Thanks for the question.