I hope you haven't already paid the ticket for running the stop sign, because a lawyer could use your guilty plea to that one as part of a bargain, to get you a "slower" speeding conviction, that won't put as many points on your license -- or draw as big a fine.
But, it is possible, sometimes, for an attorney to break down a police officer's story to the point where a court won't give it full acceptance. It's called cross-examination, and it takes skill and practice to do it effectively.