Yes!

In the "Your Name" menu -- right-top screen -- you can click on "Settings" and select "Video autocontinue" option. This will get you no needs to click on the play icon. Also, even with this option enabled, Google Chrome can still asks for your click on. In this case, I suggest you to use the Mozilla Firefox Browser.

However, when the video lessons gets some Quiz or some Article, the process stops! And the click on screen is needed! I always solve that problem with a wireless mouse -- or my cellphone as a touchscreen. I use Kubuntu Linux SO, so that is possible with the KDE Connect software.

To solve the problem "always full screen mode" -- that option does not exist on KA -- I suggest you zoom in the page than a size comfortable to you. 

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