Of course you can: you can explode with laughter:
(painting of a fool, perhaps by Jacob Cornelisz van Oostsanen)
(Hull City FC promotion celebration. Photo by Andy Beecroft)
And as if that's not wonderful enough, the word comes to us from a really amazing source, too.
Thing To Do Today But Not In A Bad Way: explode. This word comes from the Latin explōdere, to drive away by clapping or hissing (as an actor off the stage). Plaudere means to clap.