Yes. First, you need an array of keys:
var keys;
if( Object.keys) keys = Object.keys(myObjectArray);
else keys = (function(obj) {var k, ret = []; for( k in obj) if( obj.hasOwnProperty(k)) ret.push(k); return ret;})(myObjectArray);
Then shuffle your array.
keys.sort(function() {return Math.random()-0.5;});
Finally, iterate through the array:
function doSomething(key) {
console.log(key+": "+myObjectArray[key]);
}
if( keys.forEach) keys.forEach(doSomething);
else (function() {for( var i=0, l=keys.length; i<l; i++) doSomething(keys[i]);})();
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