Not without reimplementing large parts of DefaultContentDisplay.
Fortunately for you, I already have my own implementation of IContentDisplay (in Origami module) ;) Rendering single parts was something I was thinking about for an AJAX part edit in the front end.
The problem is that the DriverResult is responsible for actually pushing the shapes into the relevant zone, and you never know how many DriverResults you'll get or even if they themselves might be CombinedResults; so it's extremely difficult to intercept
and do your own thing. However you could quite easily eliminate all other drivers and just generate a normal Content shape with only the shapes from drivers from a particular Part.