You could build a big Mars settlement and that would have its own economy but how much would that add growth to Earth? Transit times are long and the cost to move goods is high for fundamental physical reasons, leaving intangibles as the only thing that could trade in really high volume.

I doubt an increase in software or media from Mars could compensate for limits to growth on Earth.

On a side note: I suspect that demand limits to growth from stabilizing or falling population and decreasing marginal utility of goods and services (“saturation”) will be as significant as limiters of growth as supply side limits.

Were I a betting man I'd bet against us, given our current trajectory.