Declaring and naming arrays in a loop possible?

Is there a way to do this somehow?

    var someVariable:int = 3;
    for(var i:int = 0; i< someVariable; i++){
        var mainArr*:Array = new Array();//I get an error if I try this

this has to be the same as down below:

    var mainArr1:Array = new Array();
    var mainArr2:Array = new Array();
    var mainArr3:Array = new Array();