Yup. That is exactly what we do, but our finances are very simple. We have long since spent or Roth-converted our taxable investments, so all our income is from TIRAs.
For anyone, the safe harbor option works. I rarely disagree with @pb4uski but I do in this case. Unless someone's income varies widely from year to year, I see no reason to screw around trying to estimate the current year's taxes. Even with variation, the only risk with using the safe harbor is maybe overpaying a little bit and tying up the overpayment at zero interest for two or three months. I am lazy; I am willing to take this risk.
Where you have a mix of income, it becomes slightly more complex. If paying the withholding from your IRA funds causes you to withdraw more than you wanted then, yes, you will have to pay on that withdrawal. That is what some of the posters are trying to point out. As a fallback, you may end up making some quarterly payments until the required year-end withholding suits your IRA payout strategy. But again, using the safe harbor strategy there is still no need to estimate anythnig. Worst case, you just write four estimated tax checks to the feds and to your state, each of which is 1/4 of the safe harbor amount.
The number of posters here who seem determined to estimate the current year's taxes amazes me. I must not have the tax-estimation-enthusiasm gene.