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This is not possible, by default stream photo set for public.. you can upload the photos from stream to another album which you set that album for members only :)
Oh that's a problem for my community. We're moms and often we post our kid's photo you know... Is it possible to turn the stream off? If yes how?
I think that introduce the possibility to set the privacy in the stream photo it will be a good idea for Joomsocial. Maybe others community need to do not have this public stream. Don't you?