Matt 6:24-34 Since the Lord is not concerned why should I be?
Here, Jesus is talking about wealth, and warning against two different responses that lead to trouble. The first is to make pursuit of money a master and to be consumed by it. The second is to be consumed by anxiety about money - where food and clothes come from.
Jesus' teaching is to serve God only and to depend on him to provide all our needs.
It relates only indirectly to issues such as climate change, and should not be used as a proof text for inaction on any issue.
Imagine a person who is overcome by anxiety about their crippling debt problem reads this passage looking for help. What might they come away with? Maybe they'd receive some comfort from understanding that God is bigger than their financial problems, and that he can be depended on, no matter how difficult the circumstances. It might also give them the confidence to face up to the problem directly and to start to deal with creditors and seek out practical ways to bring finances back into order.
That would be a response in line with what Jesus is saying.
But what about someone who reads this passage, thinks "I don't need to worry," and does nothing to address their problem with spending beyond their means?
With regard to the environment, we are consuming resources at a greater rate than is sustainable. God's creation is good, but it's not infinite, and we must - without being overcome by worry - do something to address the global problem of living beyond our means.