[javascript] Add a fragment to the URL without causing a redirect?

Is there is a way how to add hash # to my URL without redirect?

Try this

var URL = "scratch.mit.edu/projects";
var mainURL = window.location.pathname;

if (mainURL == URL) {
    mainURL += ( mainURL.match( /[\?]/g ) ? '&' : '#' ) + '_bypasssharerestrictions_';
    console.log(mainURL)
}

window.location.hash = 'whatever';

For straight HTML, with no JavaScript required:

<a href="#something">Add '#something' to URL</a>

Or, to take your question more literally, to just add '#' to the URL:

<a href="#">Add '#' to URL</a>