Do you think they have a better shot than any other country with an explicit firewall (Eritrea, China, NK, Cuba etc…)
They have limited service because they can't afford anything better, and the USA prevents installing additional undersea cables, but only a small number of sites are blocked by Cuba itself, such as a few Spanish language news sites run by Cuban-Americans.
Many more sites are unavailable in Cuba because their USA owners refuse access to Cuba, but that's not Cuba's fault.