can i have dynamic date pickers using jquery by class selector

i have a dynamic html table and in one column i want a jquery ui date picker. A few questions:

1. Can i have datepicker by class instead of id:

   $(document).ready(function(){
   $(".datepicker").datepicker();
   });

2. Can i create them on the fly if i i am adding in textboxes with this class using jquery?