Yes, the Kinoo Magic Wand is compatible with the Kinoo Connect app for iOS users. As you already have a Kinoo Magic app account, you can use the same login for the Kinoo Connect app.
The download for the Kinoo Connect app is available on the App Store for your iPhone and iPad. The Kinoo Connect app works with Apple iPhones and iPads, running iOS 13 or higher, and requires a WiFi internet connection.