The photos would be/have been on the internal storage of the original phone. So unless you can access that data, getting the images would be impossible.
I would suggest you try reinserting the SIM card into it and connect the phone to a computer via USB cord (once it has turned on) and see if it will allow you to access the internal storage through the computer. Without that, there really would be no way you yourself could do it.
Now if you can talk to your carrier/service provider, where you bought the new phone, see if perhaps they have a way to flash the info/data from one phone to the other. That would be the only other thing I can think of to try and see if you can get the photos.