I believe it would/may be possible to do this with a shortcut key that runs a TextCommand, but not with a simple word-wrap setting.
The Edit menu, Wrap command allows us to wrap different paragraphs at different column numbers. Presumably, these menu options run a Command, but we/you need to find the name of this command firstly.
But, on second thoughts, is word-wrapping really appropriate for this? Having tabs at the beginning of each line seems to contradict the purpose of word-wrapping
"I'm here to save your life. But if I'm going to do that, I'll need total uninanonynymity." Me Myself & Irene.