Short answer for this question is simply NO, YOU CAN'T. As of now, tourists are not allowed to operate any type of UAS (Unmanned Aerial System). You might discover some photos and footage from Bhutan apparently made using drone elsewhere, including the official Tourism Council of Bhutan commercials but it was either made illegally or before the drones were banned by Bhutan Civil Aviation Authority (BCAA). Originally the ban was complete for everyone. Since June 2017, the BCAA issued new set of rules which we will discuss below.