Can an Illustrator Action be batched out of bridge?

I'm sending the code that works using photoshop (in this case to open DNGs from bridge in cameraraw)

All you have to do is to put illustrator code in the var 'psdMessage' and put target 'illustrator' on BridgeTalk

Here an example how it works on photoshop getting files from bridge thumbnails selection:

var dd=app.document;
// getting dng (if there isn't any thumbnail selected, it uses the selectAll dngs)
if (dd.selections.length == 0) {
    var f =dd.getSelection("DNG,dng");
    for (var all in f) {
        dd.select(f[all]);
    }
}
// build message to send to photoshop (in a string) via BridgeTalk >> if using illustrator, change the code to illustrators code (I can't help you in here, sorry)
var psdMessage = "var RawOptions = new CameraRAWOpenOptions; RawOptions.settings = CameraRAWSettingsType.SELECTEDIMAGE; ";
psdMessage += "RawOptions.bitsPerChannel = BitsPerChannelType.EIGHT; RawOptions.size = CameraRAWSize.MEDIUM; ";
psdMessage += "RawOptions.resolution = 300; RawOptions.colorSpace = ColorSpaceType.SRGB; ";
for (var psds in dd.selections) {
    psdMessage += ' app.open(File("' + decodeURI(File(dd.selections[psds].path)) + '"), RawOptions);';
}
//
dd.chooseMenuItem('OpenInCameraRaw');
// send to photoshop using BridgeTalk:
var openMessage = new BridgeTalk();
openMessage.target = "photoshop"; // here you need to use 'illustrator'
openMessage.body = psdMessage;
openMessage.send();

The second thing you need to do is choose where you want to have access to this in Bridge:

A) on a button using you own built pallet in Bridge (app.document.palettes)

B) on the content panel using top or bottom (app.document.navbars.filesystem.top)

C) by clicking a group of thumbnails using the right-click and selecting your action

D) by clicking a folder in the Folders subpanel using the right-click and selecting your action

You must choose.