No, Skype4Pidgin does not support video or audio chat at all.
I also researched this a bit, and while using https://web.skype.com with Chromium is no issue at all for text chat, there seems to be no way to make it work with video/audio chat.
Edit: See message below, with useragent spoofing in Firefox Skype Web seems to work.
Maybe in the future there might be a way to use the Android version with Anbox, but right now Anbox does not support passing through the camera either AFAIK.
I also researched this a bit, and while using https://web.skype.com with Chromium is no issue at all for text chat, there seems to be no way to make it work with video/audio chat.
Edit: See message below, with useragent spoofing in Firefox Skype Web seems to work.
Maybe in the future there might be a way to use the Android version with Anbox, but right now Anbox does not support passing through the camera either AFAIK.