Yes, it certainly is possible.  Have a look in the tutorials at 'Pedestal Throne' by Jilly Tinniswood.  Then google 'Les Cartonnistes' and you should get the site of a group of French artists who make furniture out of card.
Good luck
DavidO

I'd never come across ply-splitting before, so thanks for the links.  Of course, you can mix any media and pm lends itself to so many ways of working.  Go for it!!

To go into a bit more detail . . . .
I use two tools much more than any other when working with corrugated card.  The first is an electric jigsaw.  I haven't found any other tool which cuts through the card easily and accurately with minimum tearing.  You could use a scroll saw.
The next is a hot glue gun.
Having cut the shapes, if I want to join the edges, I trickle PVA along the join, leaving a few gaps, two being at the ends.  Touching the empty points with the hot glue gun, I press the two edges together.  The hot glue seizes the card and holds it tight in seconds.  Meanwhile the PVA will continue to harden and strengthen the joint.
If I were to make a drawer, for example, I would take two or even three pieces of card, each a little larger than the piece I want to cut and at right angles to each other.  Brushing PVA across each one, they are pressed gently until dried as a single block.  Marking carefully, the jigsaw can saw the exact shape.
Each piece is then carefully joined using the hot glue/PVA method.  Depending on how strong the drawer needs to be, I would use one of several methods to give added strength.
DavidO

I also ordered the vinestreetworks movie, just got it yesterday. It was interesting though I felt the length and production quality was a bit modest for the money.  I also had a distinct feeling that there were a few trade secrets we weren't being let into. I can't see the finishing, or indeed the construction with box tape, being a long or even medium term proposition. I would also think that bigger pieces would need more than one layer of card front and back. There are also lots of different quality cards out there, even in the three layer/2 corrugations type.  Still the basic construction ideas were sound and it was quite a good starting point.

Bookbinder 45,
I know this is an old thread but if you are still interested I have recently come across two books by the same authors, Carla and John B. Kenny. They are called, The art of papier mache and Design in papier mache. The books are from the early 70's so I would think they are out of print but they cover furniture making in depth. I checked them out from the library but they would be fabulous in a reference library for any paper mache artist. You could probably find them online somewhere. Hope this helps.
Moni