Yes, this happened

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U.S. Air Force, Japan Air Self-Defense Force and Royal Australian Air Force aircraft fly in formation during a photo exercise at Cope North 15, Feb. 17, 2015, off the coast of Guam. Through training exercises such as Exercise Cope North 15, the U.S., Japan and Australia air forces develop combat capabilities, enhancing air superiority, electronic warfare, air interdiction, tactical airlift and aerial refueling. (U.S. Air Force photo by Tech. Sgt. Jason Robertson)

Professional photographer Blair Bunting takes some really awesome photos. He's also an aviation freak. So much that he has flown in a F-16 twice—and he's the honorary commander of the USAF 425th FS (Singaporean Air Force). 

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An F-16 Fighting Falcon takes off for a Max Thunder sortie Nov. 5, 2013, at Kunsan Air Base, South Korea. Airmen from the U.S. Air Force, Marine Corps and the South Korean air force continued their participation in scenarios and planning cycles in a robust exercise setting that simulated combined operations against a hostile force. This combined large-force employment exercise includes 8th Fighter Wing F-16 Fighting Falcons, 51st Fighter Wing A-10 Thunderbolts II and F-16s, Marine Air Group 12 F-18 Hornets, AV-8B Harriers II, 35th Air Defense Artillery Brigade, 18th Wing E-3B Sentries, numerous South Korean air force aircraft and accompanying support personnel. The F-16 is assigned to the 80th Fighter Squadron.