Please explain: "impossible". Do you get an error message during installation? The latest versions of both TMS FNC Chart & TMS FNC Core should be compatible.
TMS FNC Chart 2.0.0.3 should be compatible with TMS FNC Core 2.8.4.4. If TMS FNC Chart is pointing to 2.8.3.0 you are not installing 2.0.0.3 but an older version. Please verify the version number when running the installer. You can see this in the first screen after running the setup.