This is an interesting question, in part because I have not heard of it before.
I found this info about designing reciprocal roofs, but no mention of rectangular buildings.
how to design a reciprocal roof
YES, they can be built, this link speaks of the chinese bridges built using the RF principle, and has drawings of more complex systems covering rectangular structures
Use of reciprocal roof frames
From the above paper,
"Typically, in simple inclined RF configurations loads are transferred by combined axial and bending action, while in flat assembles they work mainly in bending. In both the flat and inclined RF configurations there is shear at the point where the RF beams rest on each other. RF structures are less efficient compared to gridshell structures, which work mainly through axial action.
Despite this, there are some important benefits of using RFs:
RFs are formed by short members;
In complex RFs there is a large degree of built-in redundancy;
In symmetrical configurations all joints are identical;
In symmetrical configurations all members are identical.
These advantages, together with the extremely large scope of possibilities for creating new spatial configurations, make them a structural system unlike any other.
RFs are varied in the configurations that are possible and as such are an interesting system to use for building applications. The different structural forms offer possibilities for different applications.
This paper discusses some explorations with full-scale models as well as innovative applications of RFs recently constructed."