Can I recover photos from a severely damaged iPhone with limited functionality?

I put my phone on the back of my car and drove off. I located it in the middle of the road, but cars were running over it. The screen is completely smashed, but it still vibrates when connected and it is receiving texts (can't see them, but they come through my watch).

I got a new phone the same day, but old one had not been backed up for close to a year.

Is there still any way to get the photos off that old phone?

[Re-Titled by Moderator]