Hi, there is no control for this, you can use check box list for this.
if you want only ddl type then you have to make a custom control or functionality for this. I have made this but i can't share code for this.
follow below process:
1. one textbox and one image - image with position absolute. take both in one
2. Take one check box list and bind this with values.
3. call JS function on click of textbox and image both, to show list and hide list after selection.
it will help to find your solution, it will take some time but you will learn a new thing. Be confident and try to make this.
Sorry for not sharing the code.