You can modify restrictions surrounding the postal code and country. You can also add a Google Address Search, which will pull from the Google Maps address database and assist users to fill out the field by suggesting addresses as they type.
For the postal code, you can require it or exclude it. For the country, you can specify a country to pre-selected with no dropdown for users to change this value.

Beyond these settings, it's not possible to add or remove the sub-fields of an Address question. However, you can change the wording of each one using translation settings.