Current undersea tunnels max-out at 30-40km.
It'd be hard but i see it plausible.
https://en.wikipedia.org/wiki/Helsinki%E2%80%93Tallinn_Tunne...
If you look at globe of the world, it turns out that there's not too much water preventing a globe-spanning land-based transportation network, with the exceptions of the Atlantic Ocean (standing between the shortest-link routes between Europe and North America and Africa and South America), and of course, Antarctica. Otherwise, the Bearing Strait, some island-hopping through Indonesia to Australia, and a few other not-overly-implausible links ... suggest themselves.
(New Zealand's also something of an outlier.)
But the Atlantic is a bear.
My thought is that a submerged floating tunnel, as has been proposed for the E39 fjord-spanning highway in Norway. Of course, there's a slight difference in scale between spanning a few km and few thousands of km.
<https://en.wikipedia.org/wiki/Submerged_floating_tunnel>
<https://en.wikipedia.org/wiki/European_route_E39>
<https://nationalpost.com/news/norway-is-building-the-worlds-...>
Given costs and safety concerns, constructing a few smaller and shorter spans (say, from Great Britain to outlying islands, the Faroes, Iceland, or from Canada to its offshore islands), and piloting the project as an automated cargo-only link (24/7/365 rapid delivery without any weather concerns) might be one way to bootstrap the project.
Even based on some very rough estimates based on extant projects, a full Atlantic tunnel might easily run to a trillion dollars. Which is fairly considerable.
Though the promise of decarbonised transoceanic cargo and passenger travel at speeds not incomparable with present-day passenger jet aircraft is appealing.
<https://hn.algolia.com/?dateRange=all&page=0&prefix=false&qu...>
But this part of world have so huge political problems, so no large project will built until resolve them.