@Marilyn If "west" here simply means to the west of the city, then no. However if you mean a specific region of the country such as the Rockies, then you could imply this by capitalizing given the right context. See : https://en.oxforddictionaries.com/definition/west
Capitalizing Directions
@Marilyn If "west" here simply means to the west of the city, then no. However if you mean a specific region of the country such as the Rockies, then you could imply this by capitalizing given the right context. See :
https://en.oxforddictionaries.com/definition/west