I doubt that. Every employer now requires 2 forms of ID before they can hire someone. Probably useless ID but that let's the employer off the hook. The taxes get filed by the employer and the government gets to keep the change.
And yes some employers still pick them up off the street and pay in cash. But I'd bet that's rare.
We just had a situation here in NC at our local airport where illegal immigrants were doing maintenance on airplanes. lol.