"The Kardashev scale is a method of measuring a civilization's level of technological advancement, based on the amount of energy a civilization is able to utilize.[1] The scale has three designated categories called Type I, II, and III. A Type I civilization uses only resources available on its home planet, Type II harnesses all needed energy from its local star, and Type III of its galaxy."
"Heavier than air flying machines are impossible." -- Lord Kelvin
The physics didn't change, just our understanding of how to manipulate them.
One cherry picked quote demonstrating a famous scientist's lack of imagination does not represent the scientific consensus, especially since da Vinci's lift and thurst research (based on heavier than air flying birds) from centuries earlier was well known.
It's great to be hopeful and work towards such technology but you can't discard the very, very real possibility that the speed of light can't be exceeded or that doing so to communicate might require a Type II or III civilization, which might also be practically impossible to achieve due to the speed limit for travel.