"If a target is partially hidden from the firer's view by other models, it receives a 4+ cover save"- p.21 BBB
"When any part of the target model's body is obscured from the point of view of the firer, the target model is in cover". - p.21
"For 'body' we mean its head, torso, legs and arms"- p.16
So yes, you can probably position your drones so they screen your units for a turn. But that also raises the point of why your units aren't in cover in the first place