Is there any way to set Order.displayFulfillmentStatus to on_hold using API?

[jessicazu]

There is a function to set the fulfillment to on_hold from the order management dashboard, is it possible to achieve the same thing using the API?

When I set fulfillment to on_hold, Order.displayFulfillmentStatus seems to be set to on_hold, but I want to set this using the API.