The replicator technology is literally an energy issue just like FTL. We could probably engineer something like that due to particle physics getting closer to converting energy into matter with large colliders but the amount of energy to create Earl Grey hot tea would be insanely higher than if Picard just plugged in a kettle with cold water to a boil and pour his own tea into a cup.

FTL is just another energy issue that needs to be solved by creating enough energy to not only push a mass beyond the speed of light but also the engine itself too. Or, if you can create a stationary warp bubble and let space travel around your space ship, since galaxies, planets, etc travel faster than our current space craft, one could achieve pretty fast travel by staying put and using less energy than Star Trek's FTL.

It's all an engineering and energy problem. So your dreams are crushed, it's just more of some hurdles we haven't figured out how to jump over yet. Good news is, we have entered the Great Filter, so now it's a matter of we either all die on this rock or we make the universe our playground.