Cars, like much else in modern life, aren't purely functional objects and totems, but are very strongly linked with lifestyle, status, and identity. A campaign that directly attacks these ... probably won't go well.
There have been similar campaigns in the recent past, though, which have been highly effective. The campaign against smoking, begun in earnest in 1961, is probably among the more successful.
https://content.gallup.com/origin/gallupinc/GallupSpaces/Pro...
That involved a lot of approaches. Education was one prong, but increasing costs, decreasing the opposition's abiity to propagandise (the tobacco firms), increasing costs, reducing the number of places where smoking was acceptable, changing attitudes toward whether or not smoking was "cool" or a status signal, etc., all contributed. It took literally decades. But it worked, with US rates now less than half their 1945 peak.