Time range in form search

Yes. If your dashboard is in advanced XML (you can convert it by adding ?showsource=1 to the end of your dashboard link, e.g /en-US/app/search/dashboard_live?showsource=1 This will display a page with a box that contains the converted simple xml in advanced xml)

You can then use the code;

  <module name="HiddenSearch" layoutPanel="panel_row1_col1" autoRun="True">
        <module name="TimeRangePicker">    
        <param name="label">Select Time Range: </param>
          <param name="searchWhenChanged">True</param>
          <param name="selected">Last 4 hours</param>

If you enclose all searches you want to inherit the time from this module by closing the module after them then as the user changes the selected time range it will update all searches.

To define the time ranges (other than default) you can edit times.conf (or create your own in the appname/local directory. See the following link for more detail;

http://docs.splunk.com/Documentation/Splunk/latest/admin/Timesconf

In addition to Draineh's answer, this can also be done in simple XML. Just use <input type="time"/>. Complete example below:

<form>
  <label>Example search form</label>

  <searchTemplate>sourcetype="example" someparam="$someparam$"</searchTemplate>

  <fieldset>
    <input type="text" token="someparam">
      <label>Value to filter someparam on</label>
      <seed>*</seed>
    </input>

    <input type="time"/>
  </fieldset>

  <row>
    <table>
      <title>Search results</title>
      <fields>_time, someparam, _raw</fields>
      <option name="showPager">true</option>
      <option name="count">30</option>
      <option name="displayRowNumbers">false</option>
      </table>
  </row>
</form>