For Redlib (None) I am pretty certain that you should be OK. But you can double check in the map file generated in the Debug/Release directory by the link step of your build.
You will currently end up with malloc if you build against Redlib (Nohost) or Redlib (Semihost) though.
Do remember that, even if you are not using the heap, your stack will still consume memory.
Regards,
LPCXpresso Support