Will any teleconverter work with nikon 55-300 VR lens?

Hello- yes, I know teleconverters are not ideal… But I can't spend money on a longer lens (happy with the nikkor 55-300 mm lens.except when I take pictures of the moon!) since I'm saving for a wide angle lens (landscapes are more my thing- looking at the sigma 10-20 mm for that). My question is- will a teleconverter work on my long lens without losing focus? My main purpose for wanting the longer reach is moon photos. So obviously, if focusing/sharpness is lost with teleconverters, it's a no go. Advice?

Any Nikon mount teleconverter will work with any Nikon mount lens. (more or less, some exceptions you don't need to worry about with the D3100).

The problem will be the extreme exposure times. The 300mm side of that has a 5.6 aperture. Which is already a very slow lens. Then teleconverters can make it so you need even more light to make the picture, which means an even slower shutter speed. You can end up with a 300mm, f/16 by the time you go out there. I tend to read around a EV13 for the moon, that means you will be shooting at 1/125 at ISO 400. Not bad, but not a great situation.

What you can do is buy birdwatching club lens. These Opteka 3200mm f/8 lenses for $400. A teleconverter is going to run you over $400 bucks anyway. And you might only end up with a 420mm focal length. 600mm for $700. I think the price, extra reach and efficiency of not having to Jerry-rig a teleconverter on there would outweigh any slightly better image quality you get from using the 55-300.