Yup. My understanding is that there are a great many reputable mathematicians (people who understand probability) who will tell you — “For that to happen, your 12 billion year old universe would have to be about a trillion times older.”
Forget a complex system like life. Take a jar full of 20 red marbles and 20 blue marbles and empty it on the floor. What are the odds that all the blue marbles end up on one side of the floor and the reds on the other ? In real life terms it will take an astronomical amount of time for it to happen. In other words the odds are zero.