No, you should be able to run the license file on any compatible installation build.
I expect you have completed this steps:
Register your entitlement ID / Registration ID on www.nxp.com/activation
Get a new license file for the CodeWarrior version you need
Copy the license.dat on the installation folder
If you are using the Entitlement ID with termination 5741, which is available in your account , you need to generate the license file, since this entitlement has not generated any license so far. Follow the next video on how to get the license file
How to access software products and licenses|NXP
Hope this helps.
Regards