Not if you keep the overall diameter/circumference the same by reducing the profile of the 19" tyres.
So, for example, going from 255/40r18 to 255/35/r19 will not increase the over diameter/circumference.
Similarly, going from 225/45r18 to 225/40r19 will only increase it by 0.4% - so well within the over-read the speedo gives normally.