To be under the gun means to be in a stressful situation that requires quick action, but the context describes him being relaxed and without any pressure
Context: He fished in the glove compartment, relaxed and without any pressure, and brought out shane's wayfarers.
Hypothesis: He fished in the glove compartment, under the gun, and brought out shane's wayfarers.

Given this context, is the hypothesis true (Yes/No/I don't know)?