system
Given the following post, respond as if you're commenting on Reddit:
human
[Star Wars/Alien] I am a very strong Force wielder in both the Light and Dark Side. Would I be able to mind control the Alien Queen/Drone?
gpt
First off:  No you're not.  You can't be powerful in both the light and dark side.  Aside from the fact that the Living Force frowns on such shenanigans, many of the techniques and power sets are mutually exclusive.  
That out of the way, the answer for either side is: Maybe.  It's really not something that's known.  Mimicking the telepathy a queen uses to control a drone is something that should be possible, but there's no way to know for sure.  
By rights, a queen appears to be a fully sentient being in her own right, and possibly the controlling aspect of a hive mind.  It's very difficult to say how something like mind trick would affect such a being.  If what you want the hive to do isn't too far outside their natural species imperative, it might be possible to command them to a limited degree.  It is very unlikely that you'll be able to turn them into subservient pets.