I know that the F-16 VISTA tech demonstrator incorporated 2D thrust vectoring and could perform this maneuver. I also know that military variants of the F-16 are prevented from intentionally entering such extreme angles of attack via their flight limiters.
However, I also know one more thing; there is a switch just in front of the throttle that allows "manual pitch override". This disables the pitch-plane limiter of the FLCC to allow the pilot to recover from certain types of deep stalls when normally the flight limiters would freeze the control surfaces due to the detected extreme AOA.
The question is, can U.S. military-variant F-16s, with MPO enabled, perform a "Cobra" maneuver like Pugachev's Cobra?