As the title says, is the production of a positron and a neutron from a proton by the help of electromagnetic radiation possible?
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Short-short answer: "No."
Your proposal fails to conserve lepton number, fails to account for the observed energy distribution of the products, and is contradicted by direct observation of "inverse beta decay" events in large, low-background detectors (which would see the incident photon flux if such a thing were responsible, and would block any photon of the necessary energy from getting anywhere near the fiducial volume in any case).
