The NPC is not accurate for an international student (unless the NPC says it is for international students too) as it may assume the Pell grant or SEOG as part of the package.
You may not be able to afford it but your paperwork may say you/your family have assets that need to be contributed. Even at the most generous schools there is usually a family or student contribution expected, like work study or summer employment. They also may not support your travel to the school.