Isn't Fine-Tuning of the Universe a Result of Chance + Time?

Regarding the Fine-Tuning Argument of the Universal Constants (explained here, also in Course 101 chapter 1 Appendix), even if the probability for a fine-tuned universe to happen by chance is small, if there's a large enough amount of time, wouldn't the event eventually happen?  So this argument doesn't seem to have any religious implications.