As KrisD15 said, there is nothing to prevent you from taking an IRA distribution and using that money to make an IRA contribution in the same year. The only purpose would be to be able to make a deductible contribution for the prior year to shift taxable income to the current year. Be aware, though, that such a distribution would likely prevent you from being eligible for several years for any Retirement Savings Contributions Credit for which you might otherwise be eligible, so just make sure that you aren't doing something that has a net negative effect on your tax liability over several years.
