No, you cannot delay payment. The income taxes are due April 15th and will start to incur penalties and interest if not paid on time. You may be able to choose an option (like paying with a credit card) that could make sure the taxes are paid on time, but you would have more time to pay the bill.
Take a look at the information in the following help article for your options to pay the income tax:
How can I pay my federal taxes?