Yes, a USB C port is the new USB connector. USB signals are always present on this connector, therefore will work with any existing DisplayLink enabled docking station. DisplayLink enabled docks will still work with USB C ports which are enabled for USB C alternate modes, Thunderbolt 3 or USB power delivery.
DisplayLink provides a backwards compatible solution for USB C docking. A computer with only USB Type A ports can be connected to a DisplayLink enabled USB C dock, using a USB A to C cable. A USB C computer can be connected to a DisplayLink enabled USB Type B dock using a USB Type A (Female) to USB C.