I live in Portugal in an island where there is no mosque; besides the island is far from other cities. There is no way to pray in a congregational prayer in a mosque or to pray Friday Prayer because the distance to the nearest city takes an hour and half. Am I permitted to stay at home and to leave out Friday Prayer?

Actually, if you have gone there for a legitimate reason such as to look for lawful means of living, you may pray at home either alone or with your wife, if you have a wife, or with a Muslim friend, if you have a Muslim friend. There is no sin on you insha’a Allah. Then after you finish your business in this city, you should go back to another city where there are mosques and where you can attend Friday Prayer.