Of course it is, but if the goal is fixing the planet, you can’t just say “carbon tax” and be done with it, because there’s many other things that are screwing up the planet, and a carbon tax itself just raises the cost of polluting, so if the rest of the manufacturing chain is cheap enough due to everything else having no protection, than a carbon tax isn’t a solution at all.
Free trade with a country that has limited environmental protections just off-shores the environmental impact to another part of the world, which invariably screws up the entire planet. Any sort of unfettered free trade must have very strong societal and environmental guarantees.