Instead of using an input type=file html tag, is it possible to bring up a choose a file to upload dialog box by clicking a input type=button? Then when a file is selected from the choose a file to upload dialog box, the file path gets inserted into a regular html input type=text tag?

I've seem that gmail does something similar but not with buttons and text inputs, they simply have a link add file or something like that. When that link is clicked, it shows the select file(s) to upload by mail.google.com dialog box. When a file is clicked, the file name is shown on the screen.

How are they doing that?