You cannot pay the quarterly estimated tax payments directly through TurboTax.
TurboTax has a feature where you can calculate your estimated tax payments. Those payments will be entered on a Form 1040-ES that you can print and mail to the IRS.
See this TurboTax support FAQ for calculating next years estimated tax payments - https://ttlc.intuit.com/community/tax-payments/help/can-turbotax-calculate-next-year-s-federal-estim...
See this TurboTax support FAQ for making estimated tax payments - https://ttlc.intuit.com/community/tax-payments/help/how-do-i-make-estimated-tax-payments/00/25875
