Noah’s Ark is the vessel in the Genesis flood narrative (Genesis Ch. 6–9), where God spares Noah and his family, plus a breeding pair of each species from a flood he sends to engulf the world and cleanse it of sinners. One of the Prometheus working script titles was called Genesis, which I think would have given the story away too easily. In Alien: Covenant the crew is paired up just like Noah and the animals on the Ark, travelling to Origae-6 they hope to “start again.”
In Alien: Covenant Origins there is talk of overpopulation on the Earth, which could be a metaphor for the flood sent by God (Weyland). The Ark after being afloat for 150 days it came to rest on the Mountains of Ararat. The dreadnought which David and Dr Elizabeth Shaw took from LV-223 to Planet 4 also came to rest on a mountain, although the contents of the dreadnought were an artificial man and a human woman. Which brings us to the Paradise Lost narrative, but that’s for another post.
The Genesis flood narrative is similar to nine other flood myths from a variety of cultures. The earliest known written flood myth is a Sumerian flood myth(Epic of Ziusudra), and the Engineers happen to be based on the Sumerian language (Proto Indo European) and writing.
There have been numerous searches for Noah’s Ark, since the time of Eusebius (c. 275–339 CE). There’s no scientific evidence for a global flood, and despite many expeditions, no evidence of the Ark has been found. The challenges associated with housing all living animal types, and even plants, would have made building the Ark a practical impossibility.