Hi Steffen,
Which debug probe connection are you using (LinkServer, P&E, SEGGER)?
As a workaround, when moving from one board to another you could delete the current launch configuration files, this will force MCUXpresso IDE to perform a Debug Probe Discovery operation and present the list of debug probes found from which you can chose the new board.

Hope it helps!
Best Regards,
Carlos Mendoza
Technical Support Engineer