Trader Joes not having parking is almost a meme. Seems like they do it on purpose to create scarcity to encourage shoppers to buy more if they're lucky enough to get a spot.
I don't play that game, and never shop there. They're cousins with Aldi, which is cheaper, and has ample parking, so I go there instead.
Off topic: On the Maine Turnpike, long ago, there used to be a pedestrian tunnel under the highway between two rest area parking lots so people could go to the single restaurant on the opposite side.