I'm confused why you would even need to do that...why not just copy your internal storage contents to a computer and then when you get the new phone, move the contents to the new internal memory storage.
Unless by out of commission you mean inoperable...though if it was just a cracked screen or digitizer, it might still be possible to pull the contents.
Fixed my phone. lol. I received a broken refurb that had a faulty usb charging port. Since you have to dismantle the whole phone to swap that out, I put in my old stuff and the phone works like new. the screen is so smooth. I missed that, lol. Booted right up like nothing ever happened I am a happy camper.