Mark Murphy, 39, is also charged with failing to provide a breath specimen for analysis and possession of firearm ammunition without a certificate.
He has been remanded in custody until a hearing at Norwich Magistrates' Court on Saturday.
A spokesman for Norfolk Police said the charges did not relate to his role as an officer.
'Currently suspended'
A force spokesman said: "We can confirm that a Norfolk officer has been charged with a number of offences and is remanded in custody pending a preliminary court hearing.
"The offences do not relate to his role as a police officer.
"The officer is currently suspended from duty pending the outcome of criminal and disciplinary proceedings.
"It would be inappropriate to comment further while proceedings remain active."
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