No. Just keep your receipts as backup if the IRS asks.
There is only one way to get data from QuickBooks Self-Employed (not the same as QuickBooks Online) into TurboTax Self Employed version at this time -- sign in to QBSE and look for a TurboTax access point from the Annual Taxes page (there will be others, but this is the easiest to explain). You can export data from QBSE -- there is not a way to start from TurboTax and pull in QBSE data yet.
How to export your QuickBooks SE info to Turbo Tax
https://ttlc.intuit.com/community/entering-importing/help/how-do-i-send-my-quickbooks-self-employed-...