https://developer.android.com/guide/topics/location/strategies.html#Permission
Note: If you are using both NETWORK_PROVIDER and GPS_PROVIDER, then you need to request only the ACCESS_FINE_LOCATION permission, because it includes permission for both providers. (Permission for ACCESS_COARSE_LOCATION includes permission only for NETWORK_PROVIDER.)
In short: yes, you don’t need ACCESS_COARSE_LOCATION if you’ve already defined ACCESS_FINE_LOCATION.