No. The names of administrative regions above the county level (including counties) cannot be registered as trademarks. If the application is forced, the application will be rejected and the fee will not be refunded. But there is an exception: if the name has other meanings and is widely used in other aspects, you can apply for a trademark. For example, the word "Phoenix" is an administrative region above the county level, but it has other meanings, so you can apply for a trademark.