You could use a Singleton in an autoload. Make a script named "Global" and attach it to a Control or Node2D, then autoload that in settings. (The object, not the script)
Then it's as simple as this:
var _currentCutScene = false ## you can name this whatever
Then a simple check in your character's movement, you can also put an extra variable there if you'd like. This is usually a good idea with singletons because calling them is a reference unless yo are directly changing it. If the bool is true, don't allow movement.
if _currentCutScene == true:
_canMove = false
Then plug that into whatever functions you want to disable.