No, various synthetic fuels have been used at points through automotive history, including ethanol in a lot of todays gasoline in the US, so technically correct. However they’re much more expensive and haven’t been able to scale or be carbon neutral. That ethanol example is the biggest rollout, but several studies claim it’s worse for the climate than burning gasoline would have been, while others have claimed there’s no way to scale it to completely replace gasoline

You could even argue against the validity of the basic idea of carbon neutral fuel. The idea is you’re emitting carbon already in todays carbon cycle, instead of emitting carbon that was sequestered for hundreds of millions of years. However does hot air with excess carbon and other pollutants from burning, really do no more damage than the plant it was made from?