The art of ancient greece had very little impact on the development of western art true or false

False. This is especially evident in terms of architecture (pillars that look like the front of the Parthenon, the use of white in minimalism [though the Greeks were very colorful in sculpture/architecture, we are more inspired by what the marble looks like after the color decayed]). If we consider poetry and story as art, then the stories of gods and heroes have had an enormous impact on Western art themselves, with interpretations of the stories/poems being seen in visual art [painting, sculpture, etc], story, dance, and acting entertainment.