But what if they can? Well, it's not undersea tunnel. It is under sea floor tunnel. I read somewhere that European can already build an underground station with the depth of 1000 meter. Looking at the Miyako strait and Taiwan, maybe the sea doesn't deep enough, so they can build a tunnel under the sea floor? As Taiwan is not that far with those islands?
The problem is, they can't, even if they want to. The stakes involved are just too massive. Why?
#1 - Distance involved - As per your proposed Taiwan-Okinawa "tunnel", the total length of the "tunnel" itself would be at least 700 kilometers long. The longest tunnel in the world so far is the Delaware Aqueduct in northeastern US, and that's only 137 kilometers long.
700 kilometers of under-the-seabed "tunnel" isn't the same as 137 kilometers of underground tunnel, you know? The sheer technical and engineering difficulties involved would have been ginormous - Not even the "infrastructure monster" China managed to accomplish such a feat.
Plus, how do you even expect a construction of such scale to even go unnoticed at all?
#2 - Seismic activity - Taiwan and the entire Ryukyu Island Chain (or shall I say, the entirety of Japan) is located right along the tectonic fault lines of East Asia and Western Pacific.
Kindly refer to the following map taken from the 2011 Tohoku Earthquake and Tsunami Disaster:
Notice how the Okinawa Plate, Philippine Plate and Yangtze Plate are pushing against each other? Taiwan and the Ryuku Islands are located right along this region - That's why they often have earthquakes. And this is the exact kind of unstable geography that this "tunnel" has to deal with.
Other than the distance of the "tunnel" involved, having to make sure that your under-the-seabed tunnel won't collapse in an active earthquake zone would only add even more complexity to the construction of this "tunnel".
#3 - Cost - For reference, the proposed Japan-Korea tunnel, which is around 180 kilometers long and passing through the Tsushima Strait, is estimated to cost around 170 billion USD.
Now, you wanna try to build that 700 kilometers of under-the-seabed "tunnel" - In an active seismic zone - Imagine how much cost would that entail?
Furthermore, how are you going to hide that massive amount of budget allocation for the construction of this "tunnel" from public scrutiny, to begin with?