Hello there, @WSB Accountants.
Currently, the ability to directly import your QuickBooks Desktop company data QuickBooks Self-Employed is not available. Let me share some information on how you can enter your self-employed business-related data.
You'd have to manually re-enter your invoices and payments to your account. Also, you can import your bank transactions and tracked mileage as an excel file. You can read through these articles for more detailed instructions:
Lastly, you can visit our QuickBooks Blog so you'd be updated on the latest product improvements and feature releases.
Stay in touch with us here if you have other questions about managing your QuickBooks Self-Employed account. I'm always here to help.