Step 1: Earn an Undergraduate Degree. Those interested in becoming food service supply distributors consider an associate's or bachelor's degree in supply chain management or distribution management.Supply chain management and distribution management students learn the ins and outs of moving products, information, and services between companies.tep 1: Earn an Undergraduate Degree. Those interested in becoming food service supply distributors consider an associate's or bachelor's degree in supply chain management or distribution management.