Yes. Maybe a white man wouldn't have been jaywalking or would not have attacked the police officer though. Brown put himself into that situation.
Seriously?
I, as a white man, do things all the time (including jaywalking) that would afford a black man a different scrutiny by the powers-that-be.
It's fine if you don't understand this, or haven't experienced this yourself (I'm assuming you're white).
My half-brother is half-white, half-Indian (continental, not native).
White people often think he's Puerto-Rican (?), and he gets 'cruised' by the cops ALL THE TIME, for doing what white people get to do with impunity, I.E. live your life.
But, you're correct, if, by some strange reason, the cops stopped me for jaywalking, I certainly wouldn't attack the cops. Also, they'd let me go with a 'warning'. End of story.
I will re-iterate, I'm not sure the grand jury could have come up with any other decision.