In short, no. However, your maximum purchase price may increase with a higher deposit.
When we look at your borrowing power, we take into account your ability to comfortably meet repayment requirements, which is impacted by your income, expenses, other financial commitments and living/family situation (eg de facto, single, dependents or no). All of these factors can impact how much you can borrow. Using things like borrowing calculators is an easy way to get an idea of how much you can borrow.
Home Loan Guide