I was reading about scenarios for the possible fate of the universe and I learned about the Big Crunch scenario. I learned that in this scenario, the expansion of the universe slows to a halt and reverses. Now, I know that space and time are one fabric (space-time.) This makes me wonder if during this scenario time reverses as the universe contracts. If so, would the events that are happening now eventually occur again in reverse during the process of the Big Crunch?

No, time would not reverse. Your first description was accurate enough. Gravity slows expansion down and gradually halts it. Then stuff falls back together. Nothing said about time reversing. No reason it should.