Short answer - no
Medium answer - please don't try
Long answer - well... theoretically anything can be dismantled, if you have the right tools. And so theoretically, the FZ20 can be dismantled to its individual parts and components... so, yes, you can remove the lens.
However a lens is not just a metal or plastic barrel with a couple of glass elements in it. There are many thing involve. Note that this lens is not for manual focusing (there is no focusing ring - at least not in the exterior). Thus everything was controlled electronically. So whatever camera body that you wanted to put this lens on, must be able to couple nicely with the lens and also electronically they must be able to be compatible. However electronic is just part of the equation... the firmware must also support the lens too.
And to make the equation abit harder... you have the zoom mechanism too - controlled electronically too... via your firmware. So if you are wanting to couple this lens to a DSLR, a mirrorless, another point and shoot, you must ensure the above mentioned. If those are not being met, then you will have to find a way to control them manually, which might means moving the elements of the lens (somehow) by external components and not to mention focusing. So you would have a fully manual lens. Of course you can actually forget about the zoom mechanism (freeze it in whatever focal lenght you want before you dismantle the lens) and let the aperture be at its widest. Then couple it with whatever body you want, ensure that the joint is tight or you will risk other issue such as light from leaking in.
Then use the tango method to get your focus (moving in and out from the subject physically).
So long answer - yeh, of course you can dismantle the lens and mount it in any body you choose. But the question would be... is it worth the effort?