I predict a flurry of yes and no's. I have a case of delicious beer that was pitched on to a yeast cake after 2 weeks in the primary.
If you can carbonate a beer after 3 weeks I assume the yeast is still active. So, I believe it will work.
The argument against will be science mumbo jumbo about over pitching yeast and best practices.
My advice would be to go for it.