No, you don't have to mention anything in the privacy policy about the share contract you're using.
When the user is using the Share Contract to share an image with someone or another app, that's a action that's initiated by the user itself, so he is aware of what he's doing.
The privacy policy is to inform the user if you're doing things from code which is not visible to the user. For example: If you track what the user is clicking and storing that on your own server, that are things that should be in the privacy policy.