My state tax payment hasn't processed since march 21, 2017 is this normal?

Unless you selected a different date, the payment will process on April 18.

You can use the steps below to help you check to see which date you set. 

NOTE: You cannot change this date in TurboTax. You would need to contact your state's Department of Revenue if you need to change it and the instructions for how to contact them will be below. 

• Log into your TurboTax account and click My TurboTax at the top
• You should be on the Tax Timeline now
• Scroll down to the SOME THINGS YOU CAN DO section
• Click Add a state (not really adding one, just a way to get back into return) under your 2016 tax return
• Once you are inside the return, click the File tab and there should be a blue link there that says View or print your return
• Click that link and it will open the Electronic Filing Instructions pages and scroll through to find your Electronic Filing Instructions for your 2016 (state name) Tax Return
• On that sheet you should see the Date of Withdrawal in the Balance Due/Refund section along with your banking info if you chose to have it auto debited from your account. 

To change your state payment, you will need to contact your state Department of Revenue. Please find your state at this link for contact information: https://www.irs.gov/Tax-Professionals/Government-Sites 

Perfect. Thank you.

You're very welcome!