Cuba with less resources and no more warning than New Orleans had is capable of large evacuations.
Examples see below fold.
Cuba, Florida Keys brace for storm
October 17, 1996
Web posted at: 6:00 a.m. EDT
"Cuba's civil defense council ordered the evacuation of about 88,000 people in areas of Havana where flooding could be a problem" http://www.cnn.com/WEATHER/9610/16/lili.2pm/
Cuba evacuates 200,000; Castro takes charge as storm batters island
By Juan O. Tamayo
Herald Staff Writer
Published Thursday, September 24, 1998, in the Miami Herald
"Cuba evacuated 200,000 people Wednesday as a re-strengthened Hurricane Georges punched into the eastern end of the island and belted already tattered homes and electricity and telephone grids with 80-mph winds." http://www.cubanet.org/CNews/y98/sep98/24e5.htm
Isidore becomes hurricane; Cuba evacuates 23,000 people
"Mexico City (dpa) - The storm Isidore developed into a hurricane Thursday as 23,000 Cubans living in its path were evacuated." http://www.reliefweb.int/rw/rwb.nsf/AllDocsByUNID/acbafdb88cc7a2e649256c3a00267835
Hurricane Dennis loses punch after pounding Cuba -
By The Associated Press
(7/09/05 - PORT CHARLOTTE, FL
"The largest and most populous Caribbean island with 11.2 million people, Cuba suffers few hurricane casualties because the government cautiously evacuates people en masse, sometimes forcefully."
[...]"Huge waves swept away coastal homes as the storm's center made landfall on central Cuba's southern coast in the early afternoon. Civil defense officials said more than 1.5 million people left their homes to take shelter with family or friends or in government refuges. ...
http://abclocal.go.com/ktrk/weather/070705_APweather_dennis.html