I don't think that is possible even in a text field (I've never seen it done anywhere). You can spoof a clipboard in Javascript, but I don't think JS can interact with the OS clipboard.
The only browser that can interface with the clipboard is Internet Explorer either via VBScript or JScript. That is the only browser that knows for sure which operating system it is running on since it only runs on Windows (there used to be a Mac version but that died in 2003).
The browsers that run Javascript can run on a number of different operating systems not all of which have a clipboard and Javascript provides no access to anything outside of the browser (except cookies) and only limited read only access to some browser settings.
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