Usually to access data on an iPhone (and others iOS) you need iTunes installed on the computer. But you can also use other ways (not use iTunes) to access or download data from iPhone/iPad.   There are many Apps can be used for accessing the iPhone/iPad data, one is  Wifi Photo Transfer  special app for downloading photo/picture from iPhone/iPad to other devices, to computer, Android device, etc those have  internet browser and wifi  connection.   Connect iPhone/iPad and the computer or other devices to the same wifi (same SSID/name)  Install  Wifi Photo Transfer  App on the iPhone/iPad  Access the iPhone/iPad using browser from other devices (computer, Android, iOS, etc )  Browse and download the Pictures.   
Tips trick about Computer & Smartphone.