Odysseus did not trust the cyclops. Polyphemus might have attempted to smash the ship to ensure that there was no means of escape.
Well, he lied about his name, saying it was "Nohbdy", and he lied when he said his ship had crashed.
The second lie Odysseus tells the Cyclops is that his ship was wrecked on the rocks of his island due to the wrath of Poseidon, the god of earthquakes. He claims they are the only survivors and begs the Cyclops for help.
In hopes of Polyphemus' pity. He hoped that if Polyphemus thought his ship was crashed, Polyphemus would offer trade or something of that sort
The first lie that Odysseus tells the Cyclops is that his name is "Nobody." This deception plays a crucial role later when Odysseus blinds the Cyclops and tells him that "Nobody" is hurting him, fooling the other Cyclopes into thinking that nothing is wrong.
No ,Odysseus's ship was not real
Odysseus claimed that he and his men had been shipwrecked. He said this to hide the location of his ship from Polyphemus.
Poseidon sees Odysseus and creates a storm to destroy his ship. Ino gives Odysseus a veil that will protect him after the ship is wrecked.
Odysseus does
The Phaecian ship took Odysseus to the shores of Ithaca. He was dropped there with his tribute on the shore of the beach.
In the Odyssey, Zeus destroys Odysseus's ship with a lightning bolt because his men ate Helios' sacred cattle. This leaves only Odysseus alive.
Odysseus's ship drowned up side by side ,and all their trouble friends waited ,looking seaward