Yes. As an economic system Capitalism developed directly out of Medieval Feudal Christianity. Max Weber argued that the
"Protestant Work Ethic" was important for developing Capitalism. The belief in free will, natural rights, man's selfishness driven by his material being and human nature (i.e. the "soul") all have a Christian basis but serve to justify Capitalism as an ideology. Most justifications of Capitalism are ultimately built on philosophical claims which cannot be objectively substantiated and are essentially faith based claims about the natural way of things.
This doesn't mean
all capitalists are christian or
all Christians are capitalist, but there is a historical relationship between the two and in the United States, "fusionism" is the combination of Christianity and Conservative Capitalism in the Republican Party.
As Capitalism has become a global economic system, so Christianity has- on the back of colonial expansion to increase markets and "civilise" pre-capitalist societies- become the worlds largest religion. Even if you argue that were a geographic co-incidence that Capitalism and Christianity coincide in Europe, you would have expected the two hundred plus years since the industrial revolution to have brought about a more "appropriate" religious worldview. Where there is conflict is that Capitalism needs the development of natural science for the growth of industry, technology and the economy. However religious belief is essential to the preservation of Capitalism as a "scientific" understanding of Society and Man would create the knowledge conditions necessary to "plan" them.
Religion helps us accept that Market Forces "work in mysterious ways" and that a planned society is by definition impossible (we can't "know" god or change the "essence" of man/his soul) or evil (we can't and shouldn't "play" god). The notion of "absolute power corrupts absolutely" has religious origins in the belief that man is a fallen animal condemned to sin by his material desires for wealth and power incapable of achieving divinity or salvation.