It’s doable. Tunnels and bridges necessary would not be beyond what we have built elsewhere with current technology.
The weather may be challenging in Winter though.
Or just put it on a boat?
The one sticky point might be gauge. We'd want something all agree upon. We'd want to avoid variable track gauge bogies.
Even if Russia agreed, Putin or whatever strong-man dictator they have next could suddenly decide it was a bad idea, and to block U.S. freight. Then we have no rail transport AND a grounded air fleet that would take time to get operational at the same output it is today.
Sorry couldn’t resist the Snowpiercer Reference - where they connect alaska to russia with a long ass bridge.
To be fair it does look like a “technically possible but ruinously expensive” kinda project.