Is it possible to write a parental control app for iOS?
This is not possible for a third-party app and a non-jailbroken device. Did you look at Settings → General → Restrictions? It’s not exactly what you’re after, but it’s a good start.
Actually, this is possible, using the Device Enrollment Program. (This YouTube video found by Kudi shows the device enrollment profile installation procedure.) The DEP is mostly meant for large companies managing their company devices, but apparently it can also be used for other features. It would be interesting to hear the details from somebody who has jumped through the hoops, I have no experience with DEP myself.
how to implement a parental gate for iOS apps in the kid's section
I've posted an open source Parental Gate SDK which has been used in an app that has successfully passed review under Apple's new 24.3 rule that requires a "parental gate" for in app purchases and anything that brings the user experience to the web. You can read more about the SDK and get the code here:
MKParentalGate Open Source SDK
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