There used often to be NOTAMs for the area round China Lake (big US Navy research base in the desert in SoCal*) concerning GPS disruption. I believe they were testing this kind of capability. Haven't seen any for a while, I guess that now aviation depends on GPS it would be kind of embarrassing to send all the LAX arrivals to Hawaii. If the US can do it, I'm sure the Russians can too.
*(Don't ask me why the US Navy has a research centre in the middle of the desert, I have no idea).