It’s seems like the critical thinking should be teachable.
The keys to good critical thinking are simple. Have some skepticism and humility. Consider evidence from multiple sources. Evaluate the reasoning to see if it follows logically. Observe what actually happens. Be open to changing your mind. Don’t get too wrapped up in your own BS. If you’re wrong, you’re wrong. Move on.
But, in observing what actually happens, I see some people who tend to be good critical thinkers others that tend to not be so good.
I often criticize the education system for graduating so many people without the ability to think critically. But, perhaps I’m wrong.