Isn't the point of icebreakers to make things less awkward? I mean if that's actually the case and you don't have arms then good on you for overcoming adversity and not letting it stop you from enjoying the game, but most people in solo queue are probably not really going to know how to respond to that type of statement. Also it is sort of a negative stance to take, there are actually a lot of disabled gamers out there who reach some really high levels, like brolylegs, probably one of the best chun li players in NA, and he plays using a regular ps3 controller that he presses against his face.
In any case maybe try just saying good luck have fun or commenting on a new game or show, maybe making a joke, save the heavy stuff for after the ice is broken.