I've had a desert eagle 50ae for around twenty years and yes you can easily shoot them one handed. The recoil is about the same as a hot loaded 357mag revolver.
If you want shoot it accurately its like any other handgun takes a lot of ptractice. You need a lot of arm and hand strength to keep the torque from rotating the pistol and pelting you tween the eyes with spent brass.
My preffered grip for all handguns is two hands whether it is a 22lr pistol to the desert eagle. More accurate and controlled shots.
"Gun control: The theory that a woman found dead in an alley, raped and strangled with her panty hose, is somehow morally superior to a woman explaining to police how her attacker got that fatal bullet wound." L. Neil Smith
The problem with being stupid is you cannot simply decide to stop doing dumb things...
"I crapped my pants to avoid the draft!!" -Ted Nugent