Yes, you can print out an order form from the 1099-etc website. Simply go to the online order section and follow the steps to prepare an order form online. Once you have finished entering your order data you will be given the choice of printing the order form out on your printer for mailing or faxing, or sending it electronically to AMS.
If you already have the software you can also print out an order form from the Main Menu, Utilities>Print Order Form.