Thomas Edsall for the New York Times here seems to think so, and summarizes a number of studies which say yes and no:
Branko Milanovic, a visiting professor at CUNY who once served as a senior economist at the World Bank, has tracked worldwide changes in income growth from 1998 to 2008.
Milanovic calculates that the middle class in China and India experienced 60 to 70 percent income growth from 1998 to 2008, while growth stalled for the middle and working classes in the United States.
The question then becomes, in Milanovic’s words, “Does the growth of China and India take place on the back of the middle class in rich countries,” especially the United States? Milanovic does not claim a direct causal relationship, but contends that the two “may not be unrelated.”