As far as I know, there is no way to hide the password. Although you can use the access code for the device as a return.
Note that the terminology “Access Code” and “Password” refers to another thing in TouchID integration.
A "password" is used for the LocalAuthentication approach to integrate TouchID and access the application password as a fallback method.
While the "Access Code" refers to the access code to unlock the device and authenticate the purchase in the application store. To use this method, you need to save some information in the device key chain and obtain it by checking the Touch ID.
Read more about these two approaches here.
iOS 9 Change
Based on this answer , iOS 9 provides a new opportunity to hide the access code option.
For iOS 9, two new policies have been added that do not return to the password. These policies are kSecAccessControlTouchIDAny and kSecAccessControlTouchIDCurrentSet
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