For the most part. There was a Supreme Court case a few years back where it was determined that one of the bureaucracies created by SOX was unconstitutional in how its officers were appointed and removed. The members of the PCAOB could only be fired for cause, and they were appointed by the SEC Commissioners who could also only be fired for cause. The Court felt that this was a separation of powers violation, since it deprives the President of the executive power to fire or hire.
https://en.wikipedia.org/wiki/Free_Enterprise_Fund_v._Public_Company_Accounting_Oversight_BoardThe D.C. Circuit issued a similar ruling a few years later about the structure of the Copyright Royalty Board.
http://www.bna.com/high-court-lets-n17179874239/