Do all USB C data/charge cables support Quick Charge?
Simple answer It depends, may or may not 


Any USB C cable will not serve the purpose . You need to search your device forums and some sources mentioned in answer here (which also includes references to technical details if you are keen) How to select a Non OEM USB Type C charger or cable for my device?
This is a good read for USB C state of affairs, for charging and data speeds too It’s 2018 and USB Type-C is still a mess. See the wide variation in power even with standard OEM cables weekend used with different phones