we are new to the preschool process in San Francisco and we are wondering if it actually makes sense to still apply at schools that are from high interest, but that have a "first come first considered' basis.

One school of interest is St. Luke's. Our son is 2 years and a bit now and we would like to apply for Sept-2017.

Is there still in your experience an option to get in or is this wishful thinking?
Is there an option to influence the decision with a generous donation to the school?