Kind of. Though it doesn't need to be in the imperative. "Cats sleep" is a fine descriptive phrase of what cats do. "Police police" is similarly a description of what cops do.

But the original article seems to have "Police police" as a noun phrase, meaning "the police of the police," and that's how it goes to infinity -- you can keep on adding another "police" to the noun phrase.

That seems uglier to me. It just a string of nouns and an assertion that the "police police" (or the "police police police") are a named thing.

My version takes a object of the sentence and makes it a noun phrase. So if the cops hunt criminals, we could make a noun phrase: the criminals that cops hunt. We can then make add a verb at the end. "Criminals cops hunt fight." (When the criminals get hunted, they get anxious and start fighting.) You can then add a object to that verb. "Criminals cops hunt fight alligators." Replace all those nouns and verbs with "police" and you get your sentence.