Yes, cooked ham is gluten-free because it is a type of meat, and meat in itself does not contain gluten. Gluten is found in certain grains, especially wheat, barley, and rye. However, be mindful that some brands of ham might add gluten-containing ingredients, such as certain spices, flavorings, sauces, or glazes especially in pre-packaged deli or pre-cooked options. If you have celiac disease or are sensitive to gluten, it is recommended to check the product's label or contact the manufacturer for the most accurate information.