You are correct ... ~30,000 sq ft per person.
Plenty of room for growth. So, they have the land, they have the resources - and looks like they have chronic laziness.
“- and looks like they have chronic laziness.”
No.
The devil has the people by the throat.
The chief thing they lack is belief in themselves.
OK, the horse might be dead, but one more stroke ought to make sure...
According to CIA FACTBOOK, via WikiPedia, the pop. density of Haiti is over 900 people per square mile.
The pop. density of Singapore is over 18 THOUSAND per square mile, or 20x that of Haiti.
Crowding is not the source of the problem.