You know, I doubt it. Back when I had the Camry, I used to feel the engine suddenly turn faster after about 3500rpm, but there's no real mechanism to make that specific engine do that.
I think you should feel something. It's not that "Go Baby" effect, but it was noticeable in the Camry... at least to the driver. The selector had an option to hold second gear, so I tried it that way. I think your civic also has an option like that.