broken phone

No. It looks like typical hardware failure.

First try a Forced restart

https://support.apple.com/guide/iphone/force-restart-iphone-iph8903c3ee6/ios

If no better

You should arrange a repair

https://support.apple.com/iphone/repair/service

or: contact Apple Support 

Anything other than Screen or Battery may be a replacement phone and the price is in the article.

You can clearly see that the screen is cracked in the lower right hand corner. Take in to a Genius Bar for repair.