The answer is complicated but boils down to: probably not. Both California and New York (the two most plausible jurisdictions for such a suit) have shield laws

The answer is complicated but boils down to: probably not. Both California and New York (the two most plausible jurisdictions for such a suit) have shield laws that create a qualified reporter’s privilege. That’s in addition to the constitutional news gathering privilege, if any (it’s an area where the case law is not entirely settled.)