Yes, it's possible if the data was saved on the SDcard instead of the Internal Storage. In case the photos have been saved on the Internal Storage and the phone doesn't open at all, then you have two choices: you can either take it to a phone service or connect it to the PC to see if the USB Mass Storage device is still working.
If the phone boots normally without screen and Mass Storage enables normally when connected, then you can simply copy the WhatsApp folder in the root of the Internal storage.
All is lost if the phone doesn't boot or turns on at all.