Using two displays with a Latitude 5400 without a dock

I have an enterprise issued Latitude 5400, and I'm planning to hook it up to two external monitors.  I plan on connecting one using the HDMI port and the other using the USB-C port (using some sort of an inexpensive USB-C to HDMI converter). 

Since this is a company owned machine, I don't want to buy a dock.  Will my plan set out above work? Essentially can this laptop drive two displays (one through the USB-C port) at the same time?