No. You cannot use the Free Edition with self-employment income on a 1099NEC. When you have self-employment income you need to pay self-employment tax for Social Security and Medicare and you need to prepare a Schedule C for your business expenses like mileage. The Free Edition cannot be used for that.
If you have self-employment income for which you will pay self-employment tax for Social Security and Medicare, you will need to use online Premium software or any version of the desktop software download so that you can prepare a Schedule C for your business expenses.
https://ttlc.intuit.com/community/self-employed/help/what-is-the-self-employment-tax/00/25922
Or—-Use this IRS site for other ways to file for free. There are 8 free software versions available from the IRS Free File site
https://apps.irs.gov/app/freeFile/
Or—if you live in certain states you may be eligible to use the new IRS Direct File
In Filing Season 2025, Direct File will be available in Alaska, Arizona, California, Connecticut, Florida, Idaho, Kansas, Maine, Maryland, Massachusetts, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, Oregon, Pennsylvania, South Dakota, Tennessee, Texas, Washington, Wisconsin, and Wyoming.
https://home.treasury.gov/news/press-releases/jy2629