Driving without a license in California can I fight it?

I was stopped at a checkpoint by the police but,I was driving with my girlfriend who is over 21 and has years of experience, I was following all the street rules, and I had a learners permit which said I could drive with a licensed driver 18 or older. The only reason I got the ticket was because I didn't physically have the little permit paper. I now have my license. Would it be more beneficial for me to fight the ticket or not?