Yes, absolutely. I have several of the 12" jobs. They often come with both.

My local discount house (Princess Auto) has a deal for a made in China 12" swede saw type frame, with the all-important knuckle guard, that comes with both wood and hacksaw blades. $2.22 CAD.

The supplied blades are what you'd expect (lousy, because the set for the wood blade doesn't give a wide enough kerf, so they bind) but there's nothing wrong with the frame.