What a great question and the simple answer is YES!
One effective approach is the Elimination Diet. This is a 30-day commitment to eliminating inflammatory foods followed by a reintroduction of those foods, one at a time, while tracking any reactions. This diet not only decreases inflammation, it also gives the body a chance to heal and enhances your awareness to foods that have an inflammatory effect on your unique body :)
Through diet you can alleviate inflammation FIRST by eliminating certain foods from your diet. Foods like dairy, gluten, corn, soy, alcohol, pork, and sugar are commonly known to cause inflammatory symptoms. And SECOND, adding anti-inflammatory foods can also help alleviate leaky gut. Some examples are berries, fatty fish, broccoli, cinnamon, turmeric, ginger, and green tea.