The line I cite in this post is almost certainly not deliberately drawn from Shakespeare—but only almost certainly.
The episode contains this line: "Do you believe this . . . Guinan?"
Perhaps the connection is more between the way the line is delivered in a film version of Hamlet that I've seen very frequently, but I hear an echo of a line Polonius delivers to Ophelia: "Do you believe his . . . tenders, as you call them?" (I.iii.101).
I include both lines in the clip below. You be the judge:
Note: Polonius' quote above comes from Hamlet. Dir. Kevin Kline. Perf. Kevin Kline and Diane Venora. 1990. DVD. Image Entertainment, 1990.
Links: The Episode at IMDB.