If you have internet access, you can find a number of diagrams showing how the assembly is constructed. From the top, you have the finned heat sink. Inside the bottom of the heat sink is a double threaded tube which should be as tight as practical inside the heat sink. This is the heat break. Some people recommend thermal transfer grease on those threads. The shorter threaded section goes into the heater block on one side, the nozzle goes into the other side. It's practical to thread the nozzle into the heater block but stop a millimeter from flush. Thread the heat sink and heat break assembly until the heat break contacts the nozzle, then tighten the nozzle, while holding firmly and carefully to the heater block.

To explicitly answer your question, yes, the nozzle touches firmly the bottom of the heat break.