Answer:
Yes; technological developments have alleviated some of the strain on Earth's resources.
Step-by-step explanation:
The answer to the first part of the question is yes, we can continue to avoid disaster that population growth will bring in as much we are able to replenish the depleting resources or we find a close substitute for the depleting resources.
Although, there has been predictions before that with the population growth, disaster is going to catch with us pretty soon enough but we are all still here. According to some economists this is possible because of human technological breakthrough.
The paragraph above answers the second question.