Yes, there have been a few examples when helicopters have been able to fly beyond Everest. In 1972 an Aerospatiale SA 315 Lama was able to fly up to to12,442 meters for the first time, making up a world record. This record was beaten in 2002 when Eurocopter AS350 B2 flew over the height of 12,954 meters.

Yes, a helicopter can fly over Mount Everest, but it is an extremely hazardous and rare feat due to the "thin air" at high altitudes. At the summit (8,848 meters), the air density is only about one-third of that at sea level, which means the rotor blades have very little air to "grab" to generate lift, and the engine has very little oxygen for combustion. On May 14, 2005, French pilot Didier Delsalle set a world record by successfully landing and taking off an Airbus AS350 B3 helicopter on the summit of Mount Everest. To achieve this, the helicopter was stripped of all non-essential weight and the flight occurred during a rare window of perfect weather. While standard rescue helicopters (like those used in the Nepal Himalayas) can fly up to about 7,000 meters (23,000 feet) to perform long-line rescues at Camp 2, they generally do not "fly over" or land at the summit as a routine operation. The extreme winds, which can exceed 160 km/h, and the lack of engine performance make the summit a "death zone" for almost all traditional aircraft.