There are options for Event List Order, but none of them is Event Start Date. I can emulate that by choosing Manual Ordering and then manipulating the order of events in the backend, but that's a nuisance. There should be another choice: Order by Event Start Date.
Yes, this is already available. Just, admittedly, a little confusing. You can order starting with Oldest or Newest... which is referring to the start date... not when it was created (if that is what you assumed).