No. The TurboTax fee is for using the software to prepare your return. There is not an extra fee to e-file. The fee is the same whether you e-file or put it in an envelope and mail it in.
When you mail a tax return, you need to attach any documents showing tax withheld, such as your W-2’s or any 1099’s. Use a mailing service that will track it, such as UPS or certified mail so you will know the IRS received the return.