Yes, you can create your own page with page controller. But when you create your controller you need to set auth="user".

Add below code in your module controller file and when you open /test/page it will re-direct to Login. Once you login you will access this page.

from odoo import http 
from odoo.http import request 

class website_test(http.Controller): 

@http.route("/test/page/", type='http', auth="user") 
def test_one(self, **kw): 
# here do whatever you want 
return request.render('web.test_page', {})

Let us know further.