Vactrains have been proposed for well over a century:
Vactrain - Wikipedia
Robert Salter had worked on some proposals for the RAND Corporation:
The Very High Speed Transit System | RAND (1972)
Description of a very high speed transit (VHST) system operating in its own rarefied atmosphere in evacuated tubes in underground tunnels. Most cases considered took less time to go coast-to-coast (e.g., 21 min) than it takes an aircraft to climb to an efficient operating altitude. VHST's tubecraft ride on, and are driven by, electromagnetic (EM) waves. In accelerating, it employs the energy of the surrounding EM field; in decelerating, it returns most of this energy to the system. Tunnel systems would be shared by oil, water, and gas pipelines; channels for laser and microwave waveguides; electric power lines including superconducting ones; and freight systems. Environmental and economic benefits are substantial, and the technology for building and operating the system exists.
Trans-Planetary Subway Systems: A Burgeoning Capability | RAND (1978)
Describes a subway concept called "Planetran" comprising electromagnetically supported and propelled cars traveling in underground evacuated tubes, able to cross the United States in one hour. It is designed to interface with local transit systems, and the tunnel complex also contains utility transmission and auxiliary freight-carrying systems. Tunnels represent a major problem area and most of the cost. They will be placed several hundred feet underground in solid rock formations. It will require advanced tunnel-boring machines, such as hypersonic projectile spallation, laser beam devices, and the "Subterrene" heated tungsten probe that melts through igneous rocks. Planetran is rated as a system high in conservation of energy. For every car being accelerated, there is one decelerating in an adjoining tube. The decelerating cars return energy to the system. The tubes have a reduced atmosphere, making drag losses much smaller than for aircraft. Coast-to-coast energy costs are expected to be less than $1.00 per passenger.
RS proposed tunneling, and one can use existing hard-rock tunnels to get an idea of tunneling costs. From
Gotthard Base Tunnel - Wikipedia, that tunnel is a pair of bores about 57 km long that cost around $10 billion in 2015 money. It took about 12 years to do the tunnel, with about 5 additional years for getting the tunnels ready for railroad service.
The GBT average tunneling rate was roughly 13 meters / 46 feet per day.
For the US, the distance between the two largest cities, New York City and Los Angeles, is about 2500 mi / 4000 km, 70 times the length of the GBT. So tunneling will either have to be (1) much faster, (2) in several locations at once, or (3) both.
It seems much easier to put the vactrain tubes on viaducts, with tunnels only in mountains and in urban areas. But that has problems of its own, like NIMBY objections.