No. TurboTax does not have a copy of your W-2; and, TT saves returns for only seven years. Your 2011 return is gone.
I NEED A COPY OF MY W-2 (or 1099)
W-2's come from employers. There is not a federal or national website that provides W-2’s.
TurboTax does not have a copy of your W-2—the Wage & Tax Statement—issued to you by your employer, (nor does TurboTax have copies of your 1099’s). Whether you entered your W-2 by keying it in yourself, importing from a payroll site or by snapping a photo using the mobile app—-TT does not have a copy of your W-2. If you saved a pdf of your completed tax return, the worksheets will show the W-2 information you entered, but not the actual W-2.
You should always save those documents for your own records. You could ask the employer(s) for copies or you can get a copy from Social Security (for a fee of $62).
To get a copy of a W-2 from Social Security https://faq.ssa.gov/en-us/Topic/article/KA-02501
You can get a wage and income transcript from the IRS: It will not show the actual W-2, 1099’s, etc, but will show the income information the IRS received. It will not, however, show your state information. It will only show the federal information.
https://www.irs.gov/individuals/get-transcript
Or you can pay the IRS $30 for an actual copy of your tax return which will include copies of your W-2’s
https://www.irs.gov/pub/irs-pdf/f4506.pdf