Possibly. Almost anyone is permitted to make a full $5500 Traditional IRA contribution. The question is how much will be deductible?
Even if you can contribute the full amount to an IRA, the amount you can get a tax deduction for is impacted by whether you have a retirement plan at work. Take a look at this article to see if your full IRA contribution is tax-deductible. How much of my Traditional IRA contribution is deductible?