Likely. Lawns have pretty much always been conspicuous consumption: Versailles is sometimes considered the source of the first modern lawn, as opposed to a pasture.
Some places will have much more green area just because they have much more open space, or empty areas. A more compact or older city will have less space, less green area. But not necessarily because poverty.
Some places will have much more green area just because they have much more open space, or empty areas. A more compact or older city will have less space, less green area. But not necessarily because poverty.