It is not possible from now on. However, PhoneGap allows you to create plugins that will perform this task.
There is currently one available from HondaDai under the MIT license located at https://github.com/HondaDai/PhoneGap-WifiInfoPlugin .
** and it works great. After I figured out how it works. His example on how to get the SSID that shows wifi.SSID as a variable is incorrect. This is really wifi.activity.SSID, since there are two JSON objects in the return, and I wanted to access the same header activity.
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