You will eventually unlock the drone in the Campaign mode but it can be used right away in Free Farming.
From the main menu, scroll over to Free Farming and start a New Game. Selections don't matter for this achievement. Select "Start Free Farming" to begin.
to open your tablet. On the left hand side there a vertical menu. Statistics will likely be highlighted at the top. The third option from the bottom is "Activate the drone". Select this with
to launch the drone.
The achievement will (eventually) unlock - no need to actually use the drone or fly it around.