You can share a friend's contact card with any of your other contacts right from a chat, or from their Skype profile. Sending and receiving contact details is not available in Skype on Android 4.0.4 - 5.1.
From within a chat:
From someone's profile:
Drag and drop on desktop:
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Limited emergency calling Skype is not a replacement for your telephone and has limited emergency calling capabilities depending on your country. Learn more.