Can I load primitives with Geometry Import node during cook?
I want to perform a static cook but limited by the Geometry Import node.

You need to turn off “load geometry during cook” if you want to import primitives or points as invidual work items. That option makes it so the work items access the geometry during the in-process cook stage instead of the generation stage. The node will generate one work for each input file, and then load it's entire geometry into that work item during the in-process cook. It's not possible to create new work items during that stage, so it won't be possible for the node to create one work item per point in the geometry.