Does anybody had problems trying to update their security on their iPhone

This is related to iOS 16.4.1(a) rapid response update. I can confirm that this is the issue that most people with iOS 16.4.1 is having. I am one of them as well. I recommend that you wait for a few hours and then try again. There is nothing wrong with your iPhone.

Axel F.

Yup me too. It displays an error saying “Cannot install update because you’re no longer connected to the internet”. Apple will probably pull the update and re-release with a fix for that, later today.