Apr 18, 2016, 20:4504/18/16
Of course it does. When in any of these games, click your name in the top right corner of the browser window (just above the game):
This will open your profile in a new tab or window (likely tab, but it depends on the browser and its settings). There, pick "Profile" (the last item in the top menu), and there you'll fine "Password" under "Profile information" (should already be selected):