Is the 55-200 f4-5.6g af-s dx Nikkor a fit for the D3200 camera?

Is the 55-200 f4-5.6g af-s dx Nikkor a fit for the D3200 camera?

It is and it will also fit all the Nikon digital SLR cameras made since the D100 in 2002

If you 1) looked in your camera user manual, you will see that any AF-S Nikkor lens will work just fine on your camera and 2) if you visit the Nikon website, you will see a whole list of other AF-S lenses available for your camera

Of course!