Arrested and charged with hit and run, and I didn't think I hit anything

I was traveling in my truck and saw some people motioning for me to stop. I turned off into a restaurant parking lot, with them following me, saying I had hit them. I looked at my truck, saw no damage and told the couple I didn't hit anything. I went inside to have dinner. I had two mixed drinks with my dinner. About 45 minutes later, I got in my truck to leave when I saw an FHP trooper pull into the parking lot, so I turned around and went back. The trooper was belligerent from the beginning. I told him I did not think I hit anything. The trooper lied in his report that he had to chase me down (not true, I turned around and went back). He said I was drinking beforehand, not true, it had been at least four months since I had had even a beer, plus, he never saw me beforehand, so how would he know? He left out that I had dinner in the restaurant to make it look that I went in for drinks only. No sobriety test, but I was arrested. Is this a case I can win if I request a trial?