Yes, definitely. You need to follow just a few steps to add date time picker in the configuration. I am assuming that you have created a custom module.

> Create/open **`system.xml`** file under **app/code/[codepool]/[NameSpace]/[Module]/etc** folder. In this file, you should have a structure like this:

    <?xml version="1.0" encoding="UTF-8"?>
       <config>
       ....
           <fields>
           ...
              <run translate="label">
               <label>Date</label>
               <frontend_type>text</frontend_type> <!-- Use text instead of "myDateSelection" -->
               <frontend_model>[module]/adminhtml_system_config_date</frontend_model> <!-- Call a module specific renderer model -->
               <sort_order>20</sort_order>
               <show_in_default>1</show_in_default>
               <show_in_website>1</show_in_website>
               <validate>required-entry</validate> <!-- Optional -->
               <show_in_store>1</show_in_store>
              </run>
           </fields>
       ...
       </config>

> Now create a new file **`Date.php`** under **app/code/[codepool]/[NameSpace]/[Module]/Block/Adminhtml/System/Config** folder and paste below code:

    class Namespace_Module_Block_Adminhtml_System_Config_Date extends Mage_Adminhtml_Block_System_Config_Form_Field
    {
        protected function _getElementHtml(Varien_Data_Form_Element_Abstract $element)
        {
            $date = new Varien_Data_Form_Element_Date;
            $format = Mage::app()->getLocale()->getDateFormat(Mage_Core_Model_Locale::FORMAT_TYPE_SHORT);
    
            $data = array(
                'name'      => $element->getName(),
                'html_id'   => $element->getId(),
                'image'     => $this->getSkinUrl('images/grid-cal.gif'),
            );
            $date->setData($data);
            $date->setValue($element->getValue(), $format);
            $date->setFormat(Mage::app()->getLocale()->getDateFormat(Mage_Core_Model_Locale::FORMAT_TYPE_SHORT));
            $date->setClass($element->getFieldConfig()->validate->asArray());
            $date->setForm($element->getForm());
    
            return $date->getElementHtml();
        }
    }

**Note:** If you haven't defined block class yet, you first need to define block class in **app/code/[codepool]/[NameSpace]/[Module]/etc/config.xml** file.

Please let me know if you find any problem.

**Note:**

**[codepool]:** local/community

**[NameSpace]:** Your module's namespace

**[Module]:** Your module's name