Disney Cruise Line will allow you to bring your own soda onboard. However, it must be carried onto the ship in a day bag no larger than 22 wide by 14 high by 9 deep. So your wheeled collapsible cooler needs to meet these dimensions or find a different bag to carry the soda in.
In addition, Mika Bulmash, founder and CEO of Wine for the World in New York, says to make sure that the suitcase's contents are full enough so that the bottle doesn't hit the side of your suitcase; it may break due to the impact.
Disney Cruises Drink PolicyIn that case, reports are that you can bring your own, but soda and water should be unopened and brought in your carry-on luggage, NOT in your checked suitcases.