Yes, it works, but what's the point? Obviously, you wouldn't want to carry a bunch of cinder blocks on a fishing or hunting trip - a portable BBQ is much easier to deal with. At home, just buy a regular size charcoal or propane BBQ.
Injin Rocket StoveTwo holes in the ground...does the same thing.
Easier than carring stack of bricks around. Besides I think Injins were making these before they had shovels. Use a stick or a rock, takes more time and effort but it can be done.