Yes, you have the option to pay your TurboTax fees using the mobile app. Once you are signed into the app and have opened your income tax return:

• Click on the Menu icon in the top-left corner
• Select Review, then proceed until  the Review Your Order screen
• Scroll through, then click on View payment options
• Then choose the credit card payment option
  

For further information, you may refer to the FAQ: How do I use the mobile app?  https://ttlc.intuit.com/replies/5314110