There’s a raging debate that the original site of the Temple is not even near the mosque.
So the answer would be possibly.
In practical terms the world is slowly coming to an end.
That is to say the world as the center of human history is coming to an end.
That’s what all the space exploration is about.
Just as we in the new world were off the edges of the known world at the time of the bible —we are moving into an age which is beyond our comprehension. The best science fiction writer of the 19th century HG Wells predicted much of the the technology of the 20th century until about 1980 or so. Then the technology went off his map. That’s about 100 years or more. Kurizweil predicting in the 1990’s could only go out about 50 years before the technology went off his map and into the black hole or singularity. Meaning things became too unpredictable.
So they probably won’t build the temple in the next 10 years—but its likely due this century.
Or about the time someone figures out how to make warp drive.
Might be 2060 or there abouts.