Science does not prove or disprove religious texts such as the Bible. Science and religion operate in different domains and have different methodologies. Science is a systematic process that uses empirical evidence and logical reasoning to understand the natural world, while religion often deals with matters of faith, spirituality, and morality.
Regarding the construction of Noah's Ark, it is important to note that the story of the ark is a religious narrative described in the Bible and other religious texts. From a scientific standpoint, there is no evidence to support the claim that a global flood and the construction of a massive wooden ark as described in the Bible actually occurred.
In terms of building an ark without heavy machinery, it would be extremely challenging for present-day people to construct a vessel of the scale described in the Bible without the aid of modern technology and machinery. The dimensions provided in the Bible for Noah's Ark are quite large, with a length of 300 cubits (approximately 450 feet or 137 meters), a width of 50 cubits (approximately 75 feet or 23 meters), and a height of 30 cubits (approximately 45 feet or 14 meters). Constructing such a large vessel manually would be an enormous undertaking, requiring a significant amount of time, resources, and skilled labor.
However, it's important to remember that the story of Noah's Ark is primarily regarded as a religious allegory or myth by many scholars and believers. It is not typically understood as a historical or scientific event by the broader academic and scientific communities.