united states - Does a student who graduated from a lower-ranking school in a developing country be admitted to a graduate school in a western country?

Most colleges in developing countries are sub-par by western academic standards. In one developing country, for example, professors are not obliged by law or by their institutions to pursue a doctoral degree. Even worse, this country’s state colleges lack decent science and computer laboratories, affecting in turn the quality of learning experience. No doubt, higher institutions in improvised countries have much to invest in their facilities, research, and faculty.

Having said this, does a student who graduated from a lower-ranking university in a developing country have a chance to be admitted to a graduate school in a western country? Based on your experience, do graduate schools give much weight to the reputation of your undergraduate school? If your school is accredited in your country, will this help?