No you can't do that, because the stage is not a dynamic class.
If you want a quick globally accessible object, you can use a static object.
ActionScript Code:
public static var globalVarsHolder:Object = {};
Because the Object class is dynamic you can add properties to it at run time. Because the variable is static any code that can reference the class in which the static object belongs can reference that static object.
In your case I think you would need to create such a variable in the Document Class, then use the Document Class name to reference it from anywhere.
ActionScript Code:
DocumentClass.globalVarHolder.myArray = [1,2,3,4,5];
You would not be able to properly declare the type of such variables however.