The London side threw away a win against Brentford on Saturday after conceding with virtually the last kick of the game.
It leaves Orient firmly rooted in the bottom four, and left Ling wondering if his players had a relegation "death wish".
"I was very disappointed not to have all the points," insisted Ling.
"Both their goals were inside the six-yard box. We keep bubbling around the relegation zone and it's almost as if we have a death wish, but I am sure there are four sides worse than us in this division."