Not yet. The required number of UAVs to maintain this level of control over such a large area, over an extended period of time, and despite a significant attrition rate, is plainly unrealistic. I frankly doubt the combined dronewaffe of the entire world is capable of such a feat.
I.e. kabooms of depots will happen, a lot, but to just shut down an entire island, with a significant entrenched military, several multi-million cities&lots of urban square mileage, lots of mountains, helluva vegetation, very uneven weather this way - no.