It's barely Nov 1st. I received 1000+ MSPE's today!
I would give it at least 2 weeks. If you haven't heard by Nov 10th or so, then a nice gentle reminder seems reasonable.
Emailing now is unlikely to generate any bad outcome, just a "we are reviewing applications" generic response.
If you're trying for a hypercompetitive field, then I guess being more aggressive seems reasonable (as people mention that interview spots fill in minutes)