That first ice cube will cost a lot.
Here is a link to marine icemakers. Isotherm Marine Grade Ice Makers, Stainless Steel, 120 VAC/60 Hz or 230 VAC/50Hz or 230 VAC/60Hz - from SailorSams.com
2.8 amps @115 volts. That translates to about 35 amp draw through an inverter or I suppose you could use a generator.
Most cruisers struggle to produce enough power for lights, instruments, and basic refrigeration, depending on boat size and complexity. Larger boats do often have 12 volt refrigerator/freezers.
What size boat do you have or desire to have? It is a lot simpler to learn to like drinks without ice.
First post? I count 12.