Closing the department requires an act of Congress, but Trump could make it nearly impossible for remaining employees to carry out their work, much like at USAID.

Trump will hold an event at the White House to sign the order directing Education Secretary Linda McMahon to “take all necessary steps to facilitate the closure the Department of Education and return education authority to the States, while continuing to ensure the effective and uninterrupted delivery of services, programs, and benefits on which Americans rely.”

https://www.nbcnews.com/politics/trump-administration/trump-set-sign-executive-order-shuttering-department-education-rcna197191