Unless HP provides a displaylink adapter built in (and has drivers), it's not possible.  The notebook has no native ability to output video over USB -- only HDMI.  
I have an HP USB-C docking station from work. My personal DELL Insprion does not have a USB-C port. Any converter connections available (female USB-C to any other port on my Delll)?
No USB-C port on my Inspiron for HP USB-C docking station