Is Government and Economy part of a culture?

Answer 1

The culture of a place is dependent on the form of Government and Economics not really the other way about which you seem to imply. However culture is built up from a lot of other things as well that form the prevailent attitudes of the time.

Answer 2

they are innate in a culture, but not always. Here take my advice

look up culture in the dictionary, you'll get a better idea of the answer to your question