Unfortunately, you are unable to change your payment date in Turbo Tax once you filed your return and it has been accepted but you can cancel it and then make other payment arrangements. You need to contact your State directly to do this.
Every State has a different contact, so please use this link to find the contact information for your State:
http://turbotax.intuit.com/support/kb/state-taxes/state-issues/1274.html
