More or less. Some of the less sparsely populated counties evidently combine their troops (ala Niobrara and Converse, where my hometown is located), but I would imagine that due to sheer distance in Wyoming, it's necessary to have autonomous officers in most county seats or something of that nature.
If anyone else has better information, please do share, as I'm just speculating from my experiences in the state and growing up in Lusk.