"He plowed into my car jumping/ignoring/missing a red light." would be far better. Unfortunately, replacing one of these suitable verbs with 'on' just screams of laziness or ignorance. English has thousands of verbs, and a handful of prepositions, so if we were to use prepositions for verbs regularly, we might just as well grunt as speak.

Thank you, Manal !!

Your sentence is grammatically correct. But according to what you put in the parentheses, you could make the sentence clearer by writing something like: He plowed into my car when he should have stopped for the red light!