Yes, you may be able to include the TurboTax fee as part of "legal and professional expenses" if it relates to your self-employment income. For self-employed individuals, tax preparation fees are deductible as a business expense on Schedule C
However, if you also have W-2 income, you cannot deduct the portion of the TurboTax fee related to preparing your W-2 income taxes, as job-related expenses.
For more information see the TurboTax guide on self-employed expense.