Good question.
The problem I'm talking about originates in the gravity field of Earth. Human activities have formed an obstruction in its circulation which according to models can lead, rather quickly, to a big explosion of energy from the core. But it's pretty tough to find people who I can converse properly with about gravity because even the majority of specialists today lack (a) the basic knowledge about how gravity is generated, how it maintains itself, and what circumstance would cause an already-formed gravity field to lose itself, and (b) the basic willingness to question the knowledge they piled up in their heads.
Whenever/wherever science and technology develop, humans will tend to use it for bad results because it's easier, more comfortable, and more convenient for people to be ignorant. Combine that with the fact that any habitable planet's ecosystem is homeostatic and you get the result that humans destroying their environment is pre-determined to occur. I can't speak to what would happen if humans were actually able to make it off Earth but I could say that I have a much stronger case to show that humans destroying their environment has happened before multiple times in the past than the argument to show that humans just developed agriculture within the last 10,000 years. However, that's somewhat besides the point. The only real answer to your question is that humans are going to do it again no matter what planet they're on, it's just that we are very much out of time on Earth right now. If we are for some reason actually able to establish other self-sufficient colonies then the only way they can maintain their stability is for a majority consensus of individuals in the society to be correctly taught, correctly understand, and accept the fundamental principle of what kind of causes in what problems lead to what kind of effect so that the society doesn't lose justice. But it's sort of an idealist situation because we can barely do that kind of thing in small groups.