My answer is no.
The same kind of mind is required for both. Each is predicated on some alien force that is working against the interests of humanity. Both have a paranoid worldview.
In the conspiracy case there is the requirement that a group of other humans are coordinating the destruction in order to control the rest of us. In the environmental Armageddon that is usually the case (big oil, Sarah Palin, etc) but there are some who merely attribute the impending disaster to the stupidity of the world that doesn't understand the brilliant insights of the environmental elites.
Summary: conspiracy theorists and Armageddon environmentalists drink from the same poisoned well.
(The image is Alfred Dreyfus.)