Carbonated drinks such as ginger ale use carbonated water as the main ingredient. Carbonated water is water than has been pressurized with carbon dioxide. The the cap is removed from the bottle, the carbon dioxide slowly bubbles out of the drink and into the air. Plants use carbon dioxide to make their own food in a process called photosynthesis. Plants take carbon dioxide and water and with the use of the energy from sunlight convert them to glucose (a sugar) and oxygen. The chemical equation is given below:
6CO2 + 6H20 + energy --> C6H12O6 + 6O2
So to answer your question, yes the plants could make use of the gas (carbon dioxide) released from a bottle of ginger ale.