The answer that Heather gave is incorrect. Class A – General flammable materials such as fabric, paper, and lumber. Class B – Combustible liquids such as motor oil, automotive fuel, and paint. For kitchen fires you need a class K fire extinguisher Class K – Kitchen flammables, such as grease or fat used in a frying pan or deep fryer.
I would say yes as it is rated at class B and C . Fire extinguishers with a Class B rating are effective against flammable liquid fires. These can be fires where cooking liquids, oil, gasoline, kerosene, or paint have become ignited. Two commonly used chemicals are effective in fighting these types of fires. Fire extinguishers with a Class C rating are suitable for fires in "live" electrical equipment.