No..not a 401k
But potentially a deductible IRA in the next couple days.
But with a retirement plan at work, your ability to contribute to an IRA AND deduct it is limited by your income:
https://www.irs.gov/retirement-plans/plan-participant-employee/2016-ira-contribution-and-deduction-l...
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many places may require they have a check..in their hands by Monday, and you would need to tell them that it was for 2016...you waited far too long to deal with this......and hasty actions at the last minute can led to tax grief.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*