All collection endpoints (those returning a list of result items) will have a default sort order. It’s possible to change the sort order on some endpoints via the orderBy query parameter.
The http://localhost:8080/alfresco/api/-default-/public/alfresco/versions/1/nodes/-my-/children?orderBy=sizeInBytes DESC request shows how you can order the nodes in your home folder by the size of the content, starting with the largest item.
The direction of the sorting can be controlled by the DESC (descending) and ASC (ascending) keywords.
As previously mentioned, not all endpoints allow ordering to be controlled so you’ll need to consult the API Explorer to see whether the orderBy parameter is supported and what properties within the response that can be used.