Juice Calories. According to the USDA, canned carrot juice provides 94 calories per cup or 12 calories per ounce. This includes approximately 2 grams of protein, a minimal amount of fat -- only 0.35 grams -- and 22 grams of carbohydrate.You can expect a similar nutritional profile between canned -- made from 100 percent whole carrots -- and fresh squeezed carrot juices.his includes approximately 2 grams of protein, a minimal amount of fat -- only 0.35 grams -- and 22 grams of carbohydrate. You can expect a similar nutritional profile between canned -- made from 100 percent whole carrots -- and fresh squeezed carrot juices.