Can EndNote generate Wikipedia citations

EndNote doesn’t have that capability built-in, but you can certainly create your own output style that will accomplish what you want it to do.  Once you’ve got the output set up, you can use the Copy Formatted command to copy the reference in that format from Endnote to your browser window.

I would recommend against using that particular output with the CWYW tools in Word – EndNote doesn’t like {braces} in formatted citations – but it should be fine for use with the Copy Formatted command or the Export command in EndNote.