I don't think there is much evidence, since voters don't directly vote on this, but some points to no:
- Houston voted against zoning on a public vote
- Many people report wanting to live in more walkable neighborhoods
- The few cities that have walkable, dense neighborhoods in the US are much more expensive than other cities and walkable neighborhoods are more expensive than non-walkable. This suggests that there is something limiting the supply of walkable neighborhoods (zoning).