Yes. USDS is part of the Executive Office of the President; DOGE is officially a “temporary organization” under it. So the hierarchy officially goes Trump -> EOP -> USDS -> DOGE, with Musk the head of DOGE.
It used to go Obama/Trump/Biden -> EOP -> OMB -> USDS, but Trump II’s executive order renaming it also moved it out of OMB and put it directly under EOP