Turbocharging a carbureted engine is possible, but it's not a simple bolt-on affair. In order to do it right, you'll need to make some modifications to the engine itself and also to the carburetor.
The first thing you'll need to do is to install stronger piston rings in the engine. This is because the increased pressure from the turbocharger will cause the pistons to expand more than they would normally, and stronger piston rings will help prevent them from expanding too much and damaging the engine.
Next, you'll need a different carburetor jetting kit specifically designed for turbocharged engines. This will ensure that your carburetor can supply enough fuel to the engine under boost conditions. Finally, you'll also need an aftermarket ignition system that can handle the increased spark energy required by a turbocharged engine.
With all of these modifications in place, your carbureted engine should be able to safely handle turbocharging. Keep in mind, however, that this isn't a project for beginners; if you're not comfortable working on your own car's engine, it's best to leave this one to a professional mechanic.