You can add printers within your environment from My devices. This allows you to get information and updates for your PC and any attached printers. You can add printers within your environment from My devices. This allows you to get information and updates for your PC and any attached printers. To add printers, click on Add a device from the My devices tab. After clicking on Detect my device, HP Support Assistant will scan for printers attached to your PC either by a cable or over the network. You will be able to select from a list of detected printers and type in a custom name, for example “My home printer”. After this step, you can scan for updates and messages for this device, finish without scanning, or add another device.
Add (second) Printer:
The information in the document does seem to indicate this is doable.
You may need to set the following to allow the second printer to be detected:
Printing – Network Discovery (see and share printer on your network)
Verify / Switch-on Network discovery and File and Printer sharing:
Control Panel > icon view > Network and Sharing Center > Advanced sharing settings >
Under Private (current profile) >
Select Turn on network discovery
Check Turn on automatic setup of network connected devices
File and printer sharing
Select Turn on file and printer sharing
Select Allow windows to manage homegroup connections (recommended)