No, because you would not convert. If you continue as a full-time sole trader, you would simply continue the existing set of books. If you change to some other legal form of organization, that would be a new business and you would start fresh with whatever chart of accounts was appropriate for the structure.
Just make sure your chart of accounts easily provides the necessary information. There are some thoughts on designing the chart of accounts in this Guide: https://www.manager.io/guides/8965.