bRep apps can handle and work with meshes (though it's probably not the most efficient way to work with them) but no, generally speaking extracting the real geometry requires redrawing them. You can get a long way by decimating meshes and using various tools but you're going to end up breaking the result down and partly redrawing.

Plasticity (the sorta-CAD-sorta-modeller app) has seemingly just added some logic to the recent version to help with extracting the true geometry from meshes. I want to like Plasticity but it's not enough CAD for me right now.