Hardly. Easily 3/4 of the spells in the game don't mention an audio component, even if we're just talking evocation. The idea that they "don't make a noise" as a result is beyond laughable and well into the ridiculous. And the number which have mechanical implementation of that is even smaller - what Knock and Thunderwave?
Uh what? That's not my picture, please don't attribute it to me.
I'm picturing it as a line of electricity, as described. If it's got enough energy to do what it says, and to befit the words "lightning bolt" (at a minimum it means some kind of distinctly visible arc), it's going to make a lot of noise.