Canadian lenders are required by law to lend to you only if they can verify that you can afford the payments. In fact they are required to make sure you pass the Mortgage Stress Test to prove that you could continue to meet the payments even if interest rates rose.
This means they are absolutely going to have to see evidence of your income. For employed people this is usually just a matter of showing a payslip, and having the bank verify how long you have been working there. For self-employed it is more difficult.
'Not having much income last year' may or may not be a problem. If 'not much income' would still allow you to make your payments (and your other expenses) then that's fine. If your income would not have allowed you to make the payments last year, they will want evidence to show that last year was an exceptional circumstance, which you can do by providing evidence of much higher income in previous years.
Obviously they are not going to give you a mortgage if you couldn't afford the payments on your normal income.
Even if you have savings they will not treat the savings as income because you might spend it. If that is your case you are far better off using the savings to buy the house, and have no mortgage or a very small one your income can support.
(To answer your direct question, they are absolutely going to want to verify your income. This isn't 2008.)
The easiest way to find out is to go to a bank, take your documentation, and ask to be pre-approved. They will tell you how much mortgage you can afford, and different banks aren't going to be much different.