I was trying to do something in Swift that would be easy in Objective-C using KVC. The new Contacts framework added in iOS9 is for the most part easier to use than the old Addr
I'm guessing you're wanting a more swift-y way, but obviously anything you can do in Obj-C can also be done in swift. So, you can still use NSPredicate:
let predicate = NSPredicate(format: "ANY phoneNumbers.value.digits CONTAINS %@", "1118675309")
let contactNSArray = contacts as NSArray
let contactsWithJennysPhoneNumber = contactNSArray.filteredArrayUsingPredicate(predicate)