Hello yuppienick,
Thank you for using Apple Support Communities.
We understand that notifications are showing up off center when they pop-up. We would recommend starting by simply restarting the iPhone: Restart your iPhone - Apple Support
If that doesn't work, the next step would be to do a force restart of the iPhone: Force restart iPhone - Apple Support
If the issue continues to persist after those troubleshooting steps, you should consider making sure your iPhone is updated to the latest iOS: Update your iPhone, iPad, or iPod touch. Also check to see if Zoom is enabled: Zoom in on the iPhone screen
Best regards.