Short Answer
Based on the information you provided ABSOLUTELY NOT!
Discussion
It is a violation of your right to privacy protected under the Fourth Amendment. It is an order without legal justification and thus, an unlawful order.
The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.
There is no basis possible that would allow a Leader, or Commander for that matter, to require a Soldier to provide all their financial information. The only exception would be if the Soldier was under investigation and a warrant was issued ordering the Soldier to comply.
