Demand for travel to Cuba may be flattening, with soaring hotel prices on the island, American Airlines cutting some flights, and uncertainty over whether new travel restrictions could be imposed when Donald Trump takes office. Though Geronemus says the softening started "long before Trump was elected," some travelers are asking for reassurance that they'd be covered if travel gets banned between the time they book their tickets and their planned trip. Erika Richter, spokeswoman for the American Society of Travel Agents, says some people we talk to are convinced that everything will be rolled back on Jan.