magento2 – Do you need to create an integration to drive the storage process or can you do it via a remaining API?

We are working on the integration of our ERP system at a Magento store. At this point, we have developed a REST API connection to the store that is working properly. The goal is to be able to take orders in the Magento shop, create them in the ERP system, and then update the shop as the order is processed by our usual business processes.

Is it possible to update the status of the command directly from a back-end administrator login via the REST API so that the status of the command is properly reflected on the client, or will we need to write an integration residing on different server states?