Yes they do! But have them call right away...I called early booked a certain time, now our plans have changed for that evening, when I called to change the time....no luck, they were all booked for that night, so we just changed our dinner times around to accommodate the sleigh ride after dinner....should be nice. Here's what I got off of allearsnet.com
Holiday Sleigh Rides -- Enjoy a leisurely 30-minute carriage ride through the Walt Disney World backwoods from November 30 - December 30! . All rides depart from the Porte Cochere in front of the Wilderness Lodge and will return to the same location every half hour between 5:30pm and 10:00pm (December 24th hours are 3:00pm - 7:00pm). Cost is $30 (tax included) per carriage. Up to 3 adults and 2 children or 4 adults will fit in the carriage. To reserve call WDW-PLAY; Please arrive 15 minutes prior to ride time. For same-day bookings, call 407-824-2832. A $30 fee will be charged for no-shows or for cancellations within 24 hours.