No, it comes from uniformed policeman of generations ago, who usually wore coats festooned with a double row of buttons, which were commonly copper. They quicly picked up the street nickname "coppers", shortened to "cops".
Top cop.
The term "cop" meaning a policaman derives from the fact that some police in the US used badges made of copper. Those police were then called "coppers" and that was shortened to "cop."
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a cop-----------yeah, policemanMore like Chief of Police
In American English, "cop" is the slang term for a police officer. It and also be used to mean grab, as in "to cop a feel".
I think that both are almost the same. Cop is a slang term to denote police. So, both cop training and police academy training both have the same meaning.