Homeowners Associations: Can a U.S. Army Corps of Engineers Permit Override an HOA Covenant

My question involves real estate located in the State of: TN
If the US Army Corps of Engineers gives permission for a rabbit hutch to be placed on Corps land beside private property, but the HOA does not allow them, does the Corps 'trump' the HOA restrictions?

Homeowners Associations: Can a U.S. Army Corps of Engineers Permit Override an HOA Covenant