Is it possible to write data to file using only JavaScript?

You can create files in browser using Blob and URL.createObjectURL. All recent browsers support this.

You can not directly save the file you create, since that would cause massive security problems, but you can provide it as a download link for the user. You can suggest a file name via the download attribute of the link, in browsers that support the download attribute. As with any other download, the user downloading the file will have the final say on the file name though.

var textFile = null,
  makeTextFile = function (text) {
    var data = new Blob([text], {type: 'text/plain'});

    // If we are replacing a previously generated file we need to
    // manually revoke the object URL to avoid memory leaks.
    if (textFile !== null) {
      window.URL.revokeObjectURL(textFile);
    }

    textFile = window.URL.createObjectURL(data);

    // returns a URL you can use as a href
    return textFile;
  };

Here's an example that uses this technique to save arbitrary text from a textarea.

If you want to immediately initiate the download instead of requiring the user to click on a link, you can use mouse events to simulate a mouse click on the link as Lifecube's answer did. I've created an updated example that uses this technique.

  var create = document.getElementById('create'),
    textbox = document.getElementById('textbox');

  create.addEventListener('click', function () {
    var link = document.createElement('a');
    link.setAttribute('download', 'info.txt');
    link.href = makeTextFile(textbox.value);
    document.body.appendChild(link);

    // wait for the link to be added to the document
    window.requestAnimationFrame(function () {
      var event = new MouseEvent('click');
      link.dispatchEvent(event);
      document.body.removeChild(link);
    });

  }, false);

Some suggestions for this -

1. If you are trying to write a file on client machine, You can't do this in any cross-browser way. IE does have methods to enable "trusted" applications to use ActiveX objects to read/write file.
2. If you are trying to save it on your server then simply pass on the text data to your server and execute the file writing code using some server side language.
3. To store some information on the client side that is considerably small, you can go for cookies.
4. Using the HTML5 API for Local Storage.

If you are talking about browser javascript, you can not write data directly to local file for security reason. HTML 5 new API can only allow you to read files.

But if you want to write data, and enable user to download as a file to local. the following code works:

    function download(strData, strFileName, strMimeType) {
    var D = document,
        A = arguments,
        a = D.createElement("a"),
        d = A[0],
        n = A[1],
        t = A[2] || "text/plain";

    //build download link:
    a.href = "data:" + strMimeType + "charset=utf-8," + escape(strData);


    if (window.MSBlobBuilder) { // IE10
        var bb = new MSBlobBuilder();
        bb.append(strData);
        return navigator.msSaveBlob(bb, strFileName);
    } /* end if(window.MSBlobBuilder) */



    if ('download' in a) { //FF20, CH19
        a.setAttribute("download", n);
        a.innerHTML = "downloading...";
        D.body.appendChild(a);
        setTimeout(function() {
            var e = D.createEvent("MouseEvents");
            e.initMouseEvent("click", true, false, window, 0, 0, 0, 0, 0, false, false, false, false, 0, null);
            a.dispatchEvent(e);
            D.body.removeChild(a);
        }, 66);
        return true;
    }; /* end if('download' in a) */



    //do iframe dataURL download: (older W3)
    var f = D.createElement("iframe");
    D.body.appendChild(f);
    f.src = "data:" + (A[2] ? A[2] : "application/octet-stream") + (window.btoa ? ";base64" : "") + "," + (window.btoa ? window.btoa : escape)(strData);
    setTimeout(function() {
        D.body.removeChild(f);
    }, 333);
    return true;
}

to use it:

download('the content of the file', 'filename.txt', 'text/plain');