Has thermal conductivity any relationship with energy?

[Noduagga]

More thermal conductivity means there's more energy?...

 

[phinds]

More thermal conductivity means there's more energy?...

This is a very vague question. Can you expand a bit on what it is that you are trying to figure out?

 

[Dale]

More thermal conductivity means there's more energy?...

No. You could have a high thermal conductivity object at the bottom of a hill and an otherwise identical low conductivity object at the top. The one at the top would have higher energy due to gravity.