As long as they are sponsoring terrorism or providing a safe haven for terrorist the answer is no.
Cuba still provides sanctuary for wanted terrorists
The most difficult obstacle to overcome is the sanctuary Cuba continues to offer those deemed terrorists by the U.S. government.
They include members of a violent Spanish separatist movement, the Basque Fatherland and Liberty (ETA), which the State Department estimates has killed more than 800 people since the 1960s.
Cuba has also provided safe haven to members of the Colombian guerrilla army known as the Revolutionary Armed Forces of Colombia, or FARC, which has been waging a civil war with the Colombian government since the 1960s.
In addition, Cuba is providing refuge for dozens of U.S. fugitives, including one of the FBI's most wanted terrorists — Joanne Chesimard, a member of the Black Liberation Army. She shot and killed a New Jersey State Police trooper execution-style in 1973. She received a life sentence but escaped prison and made her way to Cuba.
"It is essential to recognize that the Castro regime has a long track record of providing sanctuary to terrorists and harboring U.S. fugitives who have murdered American citizens, while undermining national security," Sen. Bob Menendez, D-N.J., wrote in a Feb. 26 letter to Secretary of State John Kerry. "Before Cuba is removed from (the list), the Castro regime must be held to account for these acts and American fugitives must be brought back to face justice in the U.S."