Absolutely not. The Earth has been around for billions of years, long before the arrival of mankind, and it will likely still be around long after we are gone. The question is not whether or not the Earth will be destroyed but whether or not the changed Earth will be a hospitable place for us to live.
As evidenced by its dramatic climate history, the Earth is quite capable of reaching climate states that are not conducive to human life. As mankind’s influence on the Earth’s climate continues, many scientists acknowledge that we are conducting a great, global experiment. The Earth will be quite happy with the results, regardless of what they are. The same cannot be said for us.