Got a ticket today, can I dispute it?

Wasn’t speeding, to clear the air. Showed officer incorrect insurance ID on accident, then tried to show him the correct one and he kept saying it’s too late. Didn’t want to die so I just let him speak and he said I should go to courthouse and show them the right one then pay $10 instead of the $100+ ticket he wrote me. He read my correct insurance and pretty much just said no, too late. I couldn’t believe it. What do you mean too late, it’s right here and it’s been around 30 seconds since I slipped the wrong one on accident. Can I actually dispute this and not pay a dime?