Answer:
Yes, it varies from organization to organization and campus to campus; But many fraternity chapters across North America establish separate 501(c)7 housing corporations to finance and act as legal landlords for the property. Due to the great financial burden owning several real estate assets can place on the national or international organization, most housed chapters own their own property. Many growing campus's are building campus owned Greek housing options in which case it is often the school who owns the property.