No, you cannot pay any type of taxes through TurboTax.
You can print the Form 1040-ES and mail your payment to the IRS. Or you can use the IRS payment website to pay the estimated taxes with Direct Pay - https://www.irs.gov/payments
See this TurboTax support FAQ for estimated taxes - https://ttlc.intuit.com/community/tax-payments/help/can-turbotax-calculate-next-year-s-federal-estim...
No. You can prepare the 1040-ES but cannot e-file it or pay.
TurboTax (TT) can prepare the quarterly payment vouchers. In your 2018 software, enter at:
Federal Taxes or Personal (H&B version)
-Other Tax Situations
-Other Tax Forms
-Form W-4 and Estimated Taxes - Click the Start or Update button
On the next screen answer No to the W-4 question
If your goal is just to avoid the underpayment penalty, then paying 100% of the prior year tax liability is the “safe haven”
Or you can obtain blank IRS Form 1040-ES from the IRS. The form and instructions are at this link: https://www.irs.gov/pub/irs-pdf/f1040es.pdf
You can also pay Federal directly here. Be sure to select 1040ES: