Yes, most of the 'Northern Connect' routes are already running: Liverpool to Manchester Airport, Barrow/Lancaster to Manchester Airport, Blackpool North to Manchester Airport, Chester to Leeds etc.
The one that definitely won't be going ahead is the Bradford to Manchester Airport route (due to insufficient paths through Manchester) and Bradford to Nottingham.
Arriva were required to spend £500,000 publicising the Northern Connect routes throughout 2020 as part of the franchise agreement. Although that will probably not happen now as the franchise is going to be ripped up.