I'm presuming the Hide cursor when locked in screen's centre? option in the Settings Manager has the effect you want, in which case you just need to change that through script.
The API reference to any Manager field can be found by right-clicking the field's label and clicking "Copy script variable":
A custom Action, sure. Having a dedicated Action for each and every field in the Managers would be bad UX, so only the ones that are the most commonly necessary to change mid-game have official ones.
hideLockedCursor is not working here, it disappears if I untick "replace mouse" cursor, is it possible to do this from code ? I want the cursor hidden only during my intro scene.
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The API reference to any Manager field can be found by right-clicking the field's label and clicking "Copy script variable":
AC.KickStarter.settingsManager.hideLockedCursor = true;
A tutorial on custom Actions can be found here.