I, as a police offer, am sworn to uphold the law. As a police officer, I am sworn to uphold the law. The only way you could use 'me, as a police officer', would be in a sentence like "She asked me as a police officer, not as a friend" .

I agree with Hilary's answer about how this would occur in a full sentence. One other point: You might see the phrase 'Me, as a police officer' as a standalone title. For example, if there is a photo of you wearing a police uniform, the caption to this could be 'Me, as a police officer'.