Can we, as in, is it technologically possible - yes. Are we willing to? I would say no, no sign of it yet. Nature is inherently robust and able to restore herself. It takes an awful lot of assault to throw things out of balance. Before the invention of powered technologies, it took human beings about 10,000 to make major alterations in an ecosystem. (Over that length of time, we caused the extinction of many giant mammals, and we replaced the old growth forest in all of China and North America with different forest or plains ecosystems.) Now, we can create that kind of change in about 100 years.
Not doing that kind of damage would require three things we do not yet seem to show the capacity for, as yet. One, truly global coordination and cooperation. Right now, if some nations stop hunting an endangered species, other nations or poachers pick up the hunt, and are encouraged to do so because a black market increases price. That would have to end.
Two, honest, intelligent, accurate assessment of problems followed by creation and implementation of solutions. We did this in relation to gasses that were destroying the ozone layer. We aren't willing to do it for global climate change. We want to stay in the debate and let ecosystems collapse. (See the movie "Chasing Ice" for impressive evidence.)
Three, a willingness to limit and probably reduce the total size of the human population, and do it without war or environmental destruction.
I can imagine humanity growing to the first two with deep changes of consciousness. At this point, I can't imagine humanity growing to the third. It would require an even deeper change.
I've written eight hubs about this for those interested in knowing more. All of them have "Go Green" in the title.