Yes,, there have been some returns accepted in some small test batches. Being prepared by TurboTax has absolutely nothing to do with when your tax return is accepted/rejected/processed by the IRS.
Please read this news release that is straight from the IRS:
https://www.irs.gov/newsroom/irs-opens-2020-filing-season-for-individual-filers-on-jan-27
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**