It is possible as the class is not sealed, however there doesn't appear to be any content on the web in the few quick searches I've done.
I'd suggest you crack open a copy of .Net reflector or similar program and take a look inside the Microsoft.office.server.search.dll in the .WebControls namespace. The web control that you're looking for is actually called QuerySuggestionsWebPart
Good luck.
Paul.
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