Charcoal or gas grills are the most obvious alternative. Wood can be used for cooking in many situations. You can cook in a fireplace if the chimney is sound. Do not start a fire in a fireplace that has a broken chimney. Be sure the damper is open.
Sparks can easily get into the ceiling and start a house fire.
Never use gasoline to get a wood or charcoal fire started. A charcoal grill is a good place to build a wood fire. Be sure to put out any fire when you are through with it. When cooking is not possible, a number of canned foods may be eaten cold. Some foods damaged in a storm may not be safe to eat.