Is it possible to use JS to open an HTML select to show its option list?

Unfortunately there's a simple answer to this question, and it's "No"

This works on Google Chrome

dropDown = function (elementId) {
    var dropdown = document.getElementById(elementId);
    try {
        showDropdown(dropdown);
    } catch(e) {

    }
    return false;
};

showDropdown = function (element) {
    var event;
    event = document.createEvent('MouseEvents');
    event.initMouseEvent('mousedown', true, true, window);
    element.dispatchEvent(event);
};

I had this problem...and found a workable solution.

I didn't want the select box to show until the user clicked on some plain HTML. So I overlayed the select element with opacity=.01. Upon clicking, I changed it back to opacity=100. This allowed me to hide the select, and when the user clicked the text the select appeared with the options showing.