Fruits and Vegetables. You can eat any type of fruit on The Daniel Fast, including fresh, frozen or canned fruits, as long as they contain no artificial flavoring or coloring. Added sugar also is not allowed.Following the same guidelines, you can also eat any type of vegetable on The Daniel Fast.ats. No processed foods that contain additives are allowed on the diet. Allowed oils include high-quality oils such as canola, coconut, grape seed, olive, peanut and sesame oils, according to Ultimate Daniel Fast. You cannot have butter, lard, margarine or solid shortening.