A chunk is a piece of something. For instance, to blow chunks means to expel pieces of partially digested food from one's mouth.

Bigger than a chip (as in chip off the old block), but smaller than the biggest thing in existance. A chunk can be any portion of something, as long as it's smaller than the original. eg. A chunk of that there mountain

This meaning is not related to chunky. Chunky would be used for something like she's kinda chunky