No, you cannot necessarily deduct your IRA contribution that was made during the time that you were not covered by a retirement plan at work.
Whether or not your IRA contribution will be deductible depends on your filing status and income. Since you were covered by a retirement plan at the end of the year, you are considered to have been covered for the entire year. This means that the income limits for deducting your Traditional IRA contribution are lower than if you had not been covered by a retirement plan.
You are still eligible to make the Traditional IRA contribution, it just may not be deductible on your return. TurboTax will give you guidance on the screen after you have entered the amount of your contribution to the IRA.
For more information about the income limits for deducting IRA contributions, see the following TurboTax article:
How much of my Traditional IRA contribution is deductible in 2020?
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