“No - The theory with near-unanimous support from both archeologists and geneticists is that the first humans to populate the Americas arrived on foot via a temporary land bridge.”
No, they came by boat. Human maritime expeditions go as far back as the Paleolithic. Just how did those pesky aborigines get to Australia and the Polynesians to Hawaii and Easter Island? How were Mediterranean islands populated? Sardinia has never has a land bridge and modern humans appeared in the island during the Upper Paleolithic, a phalanx dated to 18000 BC had been found in the Corbeddu cave, near Oliena.
Before roads there were boats, everything of significant weight and size was moved by boats. Wood was plentiful as were hides for sails. The fisheries of the ancient world were very, very productive and people sailed the ocean reaping the bounty long, long before a single word was ever written on stone.
I have read that cocaine and tobacco, known only in the Americas, was detected in the mummy of Ramses II aka Ramses the great.
This would imply that there was some sort of contact between Egypt and the Americas from around 2000 BC - at least.
People did get around by boat in extreme antiquity.
However, hides make poor sails. They are too heavy, and are difficult to make waterproof. Some were used, I am sure, but the quest for better sails was likely immediate.
Sails made from woven leaves, such as palm fronds, are more waterproof and lighter.
The Egyptians are said to have made sails from papyrus fiber. Those could have been used in prehistoric times, before cloth was invented. Woven reeds have also been used.