No this is not possible.
There are a bunch of services that you can run in the background such as Location Services BUT even for that you need to configure your app and have the CONSENT of the END USER to continue to monitor his/her location. Even if the user consents, he has a bunch of options like monitor my location while using the app or always or never.
All these options are something that user can change in the "Settings" section of the iOS device.
Even if you try to run your app or any of the services background without the consent of the End user, Apple will definitely reject your app.
Hope this helps.
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