I had this demo built to allow reading from the IOS contacts using Delphi Firemonkey. It allows you to access the name, phone number, and email addresses on the user’s mobile device in your application using Apple’s native APIs. If you have not already done so you will need to import the AddressBook and AddressBookUI frameworks into Delphi XE5 to be able to compile this demo. Also see the Android Contacts Manager demo for accessing contacts on your Android device.
Update: Keep in mind that your app must first request permission to access the contacts list. I used TDPFAddressBook to do that in my production project and here is the code.