There's probably a technical solution, such as the camera manufacturer cryptographically signing a GPS location and timestamp together with the pixels. Like all DRM it will probably be broken though, and more importantly, would anyone (even e.g. a newspaper editor) care enough to verify the signature?
Spoofing GPS timing signals isn't as hard as it used to be. If you know what you're looking for on AliExpress you can get all the equipment you need
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GPS? No problem, they can take their hi-DPI monitor and their secure camera to the sidewalk in front of the White House lawn and play the AI video they made of soldiers shooting protestors.