My PCV valve is totally disconnected from the carburetor. Could this be the reason it stalls out in traffic?

I mean the hose is disconnected

The hose from the manifold is disconnected from the valve.

And there's no way to reattach it its like a piece is missing either from the valve or the hose.

That can cause a vacuum leak, the PCV Positive Crankcase ventilation uses that vacuum on the intake to draw air from crankcase. But a new PCV valve is cheap, under $10 if it has the connection nipple broken off Unless you mean the other end, where it attaches to intake, hopefully it's a screw-in nipple, even if you have to use an EZ-Out tool to get the old one out