Since there is ambiguity, look at the language used to form the list:
The canning, processing, preserving, freezing, drying, marketing, stoing, packing for shipment or distribution of
This is a list of verb forms (present participles) and so "shipment or distribution" (nouns) is a qualifier for "packing" and not additions to the list themselves. So from the context, or pattern, the "or" binds more tightly with the modifiers and not with the list. If the list was intended to include "distributing" or "shipping" it would have added the words in that form.