Is there a way to turn off Skype or keep people from calling you? I can't seem to find anything short of blocking a person.
You can tap the three dots and pick switch accounts. That logs you out.
You can set yourself as invisible by opening Skype, tapping your avatar icon at the top right and choosing invisible.
Alternatively, you can go into the Messaging hub, and select status at the bottom bar, and choose a status, this updates into Skype as well as Facebook.