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Yes, it is on the Split dialog box.
(not sure where you are seeing Slice - that sounds like AutoCAD)
I think the OP is refering to "half section view"
I'm not aware of any way to toggle between sides once the view is accepted
Maybe you are referring to Slice View (F7) in sketch mode?
Hit F7 (to get out of wrong slice) rotate around to other side and F7 again.
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