No. Odysseus and Calypso are lovers, and even have a child. However, Odysseus does retain the desire to go home, but does not see this as a valid option when a god is blocking the way.
For seven years!
7 years
Weeping.
Yes i was because he seduced calypso on her island and even had a child with her. She waited 20 years for him with no other lover even though he wasnt as nearly as faithful.
The island of Ithaca
Odysseus ends up at calypsos island where he is standed there for seven years. There he meets the immortal calypso and fatally falls for her just as she falls for him. She keeps him on her island by not giving him the tools he needs to make a raft.
Athena told her father Zeus that Odysseus wanted to go home to see his wife and son so Zeus told Hermes to go and tell Calypso to let Odysseus leave her island. She agreed and told Odysseus to make a boat and she gave him food and wine for his journey
Ogygia
Eumaeus was a faithful swineherd in Homer's epic poem, the Odyssey. He lived on the island of Ithaca and took care of Odysseus's pigs while the hero was away on his journey. He plays an important role in helping Odysseus reclaim his kingdom upon his return.
Odysseus disguised as the beggar tells Penelope that Odysseus was with the Thesprotians gathering treasure, but that he has gone to Dodona to determine's Zeus' high mind. Odysseus says that Odysseus has lost all his crew on the Thrinacian island, but has himself survived and will be coming back to Ithaca soon.
After leaving Calypso's island in Book V of Homer's "The Odyssey", Odysseus faces many challenges on his journey home. He encounters a storm created by the wrath of Poseidon, he is shipwrecked on the island of the Phaeacians, and he is finally helped by Princess Nausicaa. Ultimately, he reaches the safety of the Phaeacian court.
Odysseus tells Penelope that he is a friend of her husband who is held captive by Calypso on the island of Ogygia. He mentions that he is a warrior from Ithaca, and that he has been trying to find his way home for many years.