Unfortunately if the phone is dead the Genius Bar will not be able to recover the photos. If the photos were set to backup to iCloud automatically then log in to iCloud.com from a computer browser and see if they are there.
If your phone hasn't been backed up in a while it's likely you will only see the data backed up. If the device won't turn on it is very unlikely you will retrieve the data. IF the phone automatically backs up each time it's plugged it at night you can restore the data to a new device .( or at least the most recent backup )
Ask at the store to see if they can help.
Apple stores simply swap devices which does not help with your data so be certain what will happen if you leave a device at the Applestore (get the process in writing).
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Wishful thinking IMO IF you are unable to turn the iPhone on at all. Nonetheless please check this article just in case. It may help.
Thank you!
You are welcome. Good luck.
I can feel that the phone is getting heated while it is charging. Is that a sign of hope at all or wishful thinking?
can genius bar restore phone after it fell