Not really, except for the special case of "slip coaches".
Trains could be split into two portions, e.g. on the WCML where northbound trains might stop at Carstairs, and divide into separate portions for Glasgow & Edinburgh.
Or there could be multiple portions, as for example on the LSWR/Southern Railway/Region, at certain times of the year, the Atlantic Coast Express had the main train from Waterloo to Plymouth, but detached coaches for here, there & everywhere, that proceeded as separate short trains, e.g. to resorts like Sidmouth, Ilfracombe, Bude, etc.
Slip trains were a special case where a mechanism allowed the rear coach or two to be detached ("slipped") from a moving train; momentum carried those coaches to the next station, whilst the express continued non-stop through that station.