Contact Form 7 has some Datepicker support via the new HTML5 date input type (see http://contactform7.com/date-field/) but this is currently only supported on some browsers – see http://www.wufoo.com/html5/types/4-date.html
Contact Form 7 does provide jQuery UI-based fallback for the date and number input fields. See http://contactform7.com/faq/does-contact-form-7-support-html5-input-types/
You can now also use Contact Form 7 Controls to implement this without writing any code – use the “Enable HTML5 input type fallback” option.
I am looking for to add timepicker
This is not available directly in Contact Form 7. It can be done via custom programing but you would need to be rather skilled at WordPress development using PHP and/or jQuery.
