It really depends on what you mean by "drown." It is virtually impossible to sink in the Dead Sea, because of it's name. The reason it is called the Dead Sea is that it's so salty that nothing can live in it. More salt makes it more buoyant. Swimming in the Dead Sea is like swimming with 10 or 20 water wings and an inflatable snow tube.
You can drown, though, if you swallow so much water and it fills up your lungs. If that's your definition of drown, then yes, you can definitely drown in the Dead Sea.
You can drown, though, if you swallow so much water and it fills up your lungs. If that's your definition of drown, then yes, you can definitely drown in the Dead Sea.