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No. Judicial Watch tried it and was reminded of the President's Executive discretion over such recordings.
As the court held: “the President enjoys unconstrained authority to make decisions regarding the disposal of documents.” The President has “unfettered control” over those documents.
https://casetext.com/case/judicial-watch-inc-v-natl-archives-records-admin
"In the discussions to which this interest has given rise and in the arrangements by which they may terminate the occasion has been judged proper for asserting, as a principle in which the rights and interests of the United States are involved, that the American continents, by the free and independent condition which they have assumed and maintain, are henceforth not to be considered as subjects for future colonization by any European powers. "
-- James Monroe, speech to the US Congress on December 2, 1823
