Yes, the order placed by the same account on either of the 3 platforms is accessible on other platforms as well.
To check your past orders, navigate to the Orders Panel.
- In Planet Explorer on the side panel, click to view or download past orders.
- In QGIS/ArcGIS, click on "Show/Hide Order Status Panel" history
Orders made by API cannot be downloaded by Planet Explorer or QGIS/ArcGIS Plugins.