We can. Human life is still resource constrained. While we live better lives than ever before, it's something that can always improve. The resources we spend on dealing with climate change could've been used to improve the lives of people instead. An investment in the economy today can have (positive) compounding effects in the future.
We could live like people lived in the middle ages, but that would cause more human suffering than it would help. The same point goes for the future though - if we stop technological advancement, then how many people will suffer from issues of the modern day that would be solved in the future?
Ultimately, it's a balancing act on what will help more people more in the long run.
It won't happen because there are more incentives for underreacting than overreacting but yes, definitely possible.
Oddly the most reasonable course of action is to always paint the worst possible future but it will presumably spur people to greater action. If it turns out to be incorrect there's no harm is there? It's not like we can overreact to climate change.
Unless of course we can.