Your pics could be in one or more of several places: (none of which are the SIM card! - SIM cards hold only names and phone numbers and by default are not even used for that these days)
1 Internal phone storage
2 Removable SDcard (if you have one installed and set the camera to save there)
3 Cloud storage such as Google Photos or Dropbox if you set the app to back them up. (or did it manually)
2 is easy - take the sdcard out and put it in your new phone (or a PC card reader)
1 You need to be able to turn on your phone, unlock it (might be the issue with a broken screen) and plug in a usb cable - you may be able to see the photos from a PC
3 This should be easy IF you know the login and password for your cloud storage - just add the accounts to your new phone. Hopefully you do know your google account name and login so that you can restore contacts, apps etc on your new phone...