Support drone 2 and 3 are limited to engineer players. Seeker Drone is likewise only on kits, and all three ranks are unavailable to boffs.
As for the rest, also no. www.stowiki.org/Bridge_officer_ability is a good page to look at. There's a good few holes in ground powers where rank 3 and sometimes 2 aren't available to boffs, marked by gray boxes.