Hi jessironald22,
Thank you for using the Apple Support Communities.
We understand that your iPhone is showing No Service and an alert that says Update Failed. We also see that you’ve already checked out the Apple Support article Update your iPhone, iPad, or iPod touch.
We found some other Apple Support articles that can help.
If you see No Service on your iPhone, follow these steps: If you see No Service or Searching on your iPhone or iPad
If you see an Update Failed alert, follow these steps: If you see an Update Failed or Apple Pay Not Available alert after iOS update or restart
"If you need help installing an iOS update," follow these steps: Get help with iOS updates
Best regards.