Why leave a paper trail for traveling illegally? Whether you agree with the policy or not, going there is not allowed by the US government unless you meet special circumstances. If you have family there or for business, educational, or government needs you can be allowed but otherwise you not allowed.

ENTRY/EXIT REQUIREMENTS /TRAVEL TRANSACTION LIMITATIONS: The Cuban Assets Control Regulations are enforced by the U.S. Department of the Treasury and affect all U.S. citizens and permanent residents wherever they are located, all people and organizations physically located in the United States, and all branches and subsidiaries of U.S. organizations throughout the world. The regulations require that persons subject to U.S. jurisdiction be licensed in order to engage in any travel-related transactions pursuant to travel to, from, and within Cuba. Transactions related to tourist travel are not licensable. This restriction includes tourist travel to Cuba from or through a third country such as Mexico or Canada. U.S. law enforcement authorities enforce these regulations at U.S. airports and pre-clearance facilities in third countries. Travelers who fail to comply with Department of the Treasury regulations could face civil penalties and criminal prosecution upon return to the United States.