I don't know about Canon, but Nikon offers a SnapBridge app that connects the camera with a phone (bluetooth and wireless). I never bothered because it uses bat

I don't know about Canon, but Nikon offers a SnapBridge app that connects the camera with a phone (bluetooth and wireless). I never bothered because it uses battery to do this. (I never measured) Would a wireless SD card do what you want? Beats the heck out of a lightning or usb-c SD card adapter (I do that, too, but mainly to the computer. Phone memory is expensive, fixed in size and requires cleanup when it fills. ) In fact, "system data" was using all of my free storage and after all other attempts, I ended up backing up the phone, erasing and restoring the phone to clear it.