Of course it can. Cuba is an island nation and relies on trade to acquire the vast majority of the goods those of us in the West take for granted. Block that trade and you basically stifle all economic growth.
From wikipedia:
>>Cuba produces sugarcane, tobacco, citrus, coffee, rice, potatoes, beans and livestock.[2] As of 2015 Cuba imported about 70-80% of its food.[51] and 80-84% of the food it rations to the public.[52] Raúl Castro ridiculed the bureaucracy that shackled the agriculture sector.[52] Before 1959, Cuba boasted as many cattle as people. Today meat is so scarce that it is a crime to kill a cow without government permission.[53] Cuban people suffered from starvation during the Special Period.[29]