Sure thing. I'd add some helper fields that don't show on the form for this. You could add one for each section's submit status, for example - "Sect1Submitted", "Sect2Submitted" and so on. Then in the rules on the button for each section, set the correct helper field to true. Finally, for the controls in section one, disable them if "Sect1Submitted" = true. For the controls in section two, disable them if "Sect2Submitted" = true and so on. Does that make sense?
Hilary Stoupa