No they can't and they won't. If they suspected you are a terrorist they could subpoena your accounts details. If they have absolutely no reason to look into you they will not.
If you aren't doing any Federal crimes or anything across state lines (if you are on Facebook, chances are you are crossing state lines) they have no jurisdiction and won't bother with you.
The main point you should ask yourself is, am I really that big of a deal? Because the FBI won't even waste their time if they are not going to bust up a "ring" of criminals. I have worked with them in one of my jobs and more often then not they turned down what was offered them by my employers because it was too small pickens for them to lift a finger.
They don't like to waste tax payers dollars. Or more to the point, appear to be...
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