No they do not. It is more like a Starbucks where you purchase the specialty coffees. They have all different kinds with toppings and whipped cream. The deck 9 drink station has coffee (free) however.
When I was on the Wonder in 2006, they had cards that could be punched. After 5 coffee drinks you would get a free one. This is in Cove Cafe. Like CarolAnn posted the regular coffee is free on deck nine.
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