[gpvos]

The infrastructure operators have to allow anyone with a train operating license on their tracks, and such license is very nontrivial to acquire.

Usually you would hire a train from a train operating company, and those companies are not required to rent out their trains - although several have been set up explicitly with that goal, of course.

[mrlonglong]

Back in Victorian times very rich people owned their own railway carriage which they would have hauled across country.

[gpvos]

Basically like it still is in the US.