It's possible to book a cruise up until the morning of any given cruise (assuming there's space onboard). But you must do so via phone call, not online. Any reservations made within 3 days of a cruise have to be done by phone.
GET UP TO A $1000 SHIPBOARD CREDIT AND AN EXCLUSIVE GIFT!
If you make your Disney Cruise Line reservation with Dreams Unlimited Travel you’ll receive these incredible shipboard credits to spend on your cruise!