They can! In fact, in the UK some government services do this already however there's a couple of drawbacks:
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They'd need to use some kind of companion app for each device since the web APIs won't give them access to this.
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For us at least the NFC chip still contains a digital copy of the photo so it's not really any better since I don't know what data is going to be sent by the app.
Your comment actually made me feel sick. Please go re-evaluate where this toxicity in your life has come from.
Hint: it's not women