If you purchase an AP on site, and do not have the voucher in advance, it is possible to get a temporary DDE card. Also this works if there is very little lead time between your ordering the card and your arrival.
1. Call the DDE office at 407-566-5858 between 8:30am and 4:00pm Monday to Friday (except Holidays) and give them your name, the string of letters and numbers on the bottom of the pass (starting with a "W") and your credit card information. If you only have the voucher and not the AP itself there is a serial number on the voucher. If you are a Florida Resident and not an AP holder they will ask for your Florida Driver's license (or State ID) number.
2. Starting at 5:30pm that day, and any time it is open, you can go to the Guest Relations Window outside Epcot's Main Entrance (On your right as you face Spaceship Earth) with a photo ID and you will be given an envelope.
3. The envelope will have in it a temporary card which expires 30 days from the date of the request and a sheet of paper listing all locations which currently accept the card.
4. The plastic embossed card should arrive at your home within a month. The expiration date on the embossed card will be either the last day of the current month in the next year, or if you ordered it late enough in the month it will be the last day of the following month the next year.
Also, if you purchase it between the first and about the 7th of a month it will expire the next year on the last day of the same month. If your purchase is after the 10th, the expiration will be the last day of the following month the next year. If you order it between the 7th and 10th is anybody's guess.