Yes.
Just add these tags to you page:
<script type="text/javascript" src="https://cdn.firebase.com/v0/firebase.js"></script>
<script type="text/javascript" src="https://cdn.firebase.com/v0/firebase-simple-login.js"></script>
Then write this code:
var chatRef = new Firebase('https://YOUR-APP.firebaseIO.com');
var auth = new FirebaseSimpleLogin(chatRef, function(error, user) {
if (error) {
// an error occurred while attempting login
console.log(error);
} else if (user) {
// user authenticated with Firebase
console.log('User ID: ' + user.id + ', Provider: ' + user.provider);
} else {
// user is logged out
}
});
And when your user clicks the login button, call
// attempt to log the user in with your preferred authentication provider
auth.login('github (or twitter, or what you want)');
As explained here and demonstrated here.