No. TurboTax is not a paid tax professional who can intervene on your behalf with the IRS. TurboTax is only tax preparation software. Only you, as the Taxpayer, can contact the IRS concerning your tax filing.
However, if you purchased Audit Defense for the tax year in question, then they can contact the IRS on your behalf. Audit Defense - https://ttlc.intuit.com/community/using-turbotax/help/what-is-audit-defense/01/25537
