Yes, you can run it all without software if you are a one-man-for-all kind. Software is to save your time, so you can focus your resources more on marketing and business development. In fact, good software can do a lot in the distribution industry. See below the list of features that are apt for your business.
EZ BUSINESS ERP
A complete software ERP solution for small and medium level businesses that provides easy management, analysis, administration, and decision making.