The short answer: it depends. Normally, changes in cpp files (changes in function implementations) are picked up by Live Coding easily, changes in headers might lead to a rebuild (because some symbols are exported and used by different modules, linking is needed etc).
It will be beneficial to see what Settings you are prompted to change. Ctrl+Alt+F11 often works for me, if I change cpp file in engine.
I also would suggest to not change the Movement Component, and inherit from it and change as you wish, if it’s suitable options for your needs.