No, a market using currency does not make it capitalist. Capitalism is the free market. Capitalism is the economic ideology of private markets. Capitalism is the labor ideology of private ownership of the means of production. That one person can own a hundred factories and be entitled to the fruits of labor of those factories.

A country is more capitalist the less government control of its free market. It is more capitalist the more privatized its industries are. It is more socialist the greater the government control of its markets are, and the more nationalized its industries are.

Communist nations still use currency. Currency, or capital, has existed long before capitalism came into existence.

If you want to know more there are plenty of freely available resources online that explain it in much grater detail than I will here.