Yes, but you must do so within 60 days of receiving your distribution to keep the tax benefits. This is known as an indirect rollover.
Your employer withholds 20% of the taxable portion of your distribution for federal income taxes. State income taxes may also have been withheld.
If you replace this withholding with your own money, you can roll over the entire amount of your distribution. The IRS will apply the amount toward your tax liability for the year, and if applicable, you’ll get the withholding back from the IRS when you file your taxes.
If you roll over your distribution but don’t replace the withholding, the amount withheld will be considered a distribution subject to taxes and possible penalties.
You can avoid this with a direct rollover, which goes straight from your old plan’s trustee to an IRA or your new plan’s trustee ― not through you. If the sending and receiving plan types are the same (i.e., IRA to IRA, 457(b) to 457 (b)), consider a transfer of assets, which is not a tax-reportable event.