Everyone in the office, including the girl, was shipping me and that guy because we have similar tastes in movies, we code in the same platform, we are both reserved in our dealings with others, and he speaks more often to me than to them;
I am familiar with the online colloquial usage of "shipping" (thanks tumblr) as it pertains to online "fandoms", fan communities of a particular fictional work. In this context, it means to have an affinity for a (usually romantic) relationship between two characters which may or may not exist in the narrative.
But in this real-life example, I'm having trouble understanding what the author meant to impart:
Is it implied that the female author is perceived as having a romantic interest in her coworker, because of their shared interests?
Does it only suggest that the other people in the office superimpose a friendship between them where one doesn't really exist -- in that way, they are fictionally "shipping" them?