Yes, you can, but not all transport carriers offer such services. Please check the details of the service/carrier before completing your shipment order, and confirm that there are no restrictions for the food being sent.
We also recommend to confirm with the embassy of your country, due to the several restrictions that the United States applies to all their imports. You can also find additional information on this matter by consulting the United States' customs website.
In the majority of cases, shipments to the United States require specific permits and registration with the FDA (Food and Drug Administration), the official body that oversees the regulation of food, medicines and cosmetics, among others.