Whatever you do DO NOT lie on any credit application. You will get caught. All applications must be screened by law.
When you apply for any line of credit they will check your credit history, as you have said you have no credit so this will come up blank, you also get screened against many other lists.
Ultimately banks give out credit to people who can pay it back, with no income that is something you cannot do. Get a part time job that's paid directly into your account (no cash in hand) and start building credit.