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Yes, this can be member only viewable.
Go into your Admin control panel, then go to Edit Groups > Anonymous Users, then clear the checkbox next to the block you want to hide from non-members, then click Update Group.
You're done. Now the block will only be vieable by members.
HTH.
James
Insanity can be defined as "doing the same thing over and over and expecting different results."
Stupidity is not a crime. Therefore, you are free to go.