You can set your status to do not disturb anytime you want.
If you want to receive in-app chat or call notifications while your status is set to do not disturb, you can manage your notifications on mobile or desktop. Contacts can still call and send messages, but you won't be alerted with sound. You can also set your status to appear away anytime you want. Set automatically when you were last active an hour ago. You've been inactive for an hour or more. Set automatically when you were last active between 3 minutes, and 1 hour ago. You'll remain active on your desktop when Skype is running in the background and you're using your keyboard or mouse, and on your mobile device when Skype is running in the foreground. Set automatically when you first sign in.