Unaware of simple options to auto-split at silences or export multiple clips. Multiple sequences, yes. This may be about as close as it gets.
Once the sequences are programmed and Export All invoked, a macro can repeatedly press the Create button.
Export_all.mp4
Try a Net search for an app with those capabilities, and file a VideoPad suggestion.
The control file for VideoPad is the VPJ file, which can be examined in Notepad.