Thermodynamically, no. But is that the question?
We're a long way away from consuming so much energy we thermodynamically scorch the Earth, right?
It seems like they want to know if you can be mostly carbon neutral and generate existing fuels.
If that's the case, then if you have access to a cheap form of renewable energy -- huge amounts of geothermal, tidal, or solar -- you could generate a ton of something-like-gasoline, reduce carbon, and come out nearly neutral when re-burning it.
Theoretically, you can profit if the renewable source of energy is cheaper than the cost of generating and distributing the fuels.
I'm skeptical this is possible. But if it is, I'm optimistic it will actually happen.