Yes, as long as the total amount of your contributions to more than one IRA does not exceed the maximum annual contribution limit which, in 2017, is $5,500 for workers under age 50 and $6,500 (with an additional $1,000 catch-up amount) for workers age 50 and over by year-end.
Be sure to check the administrative fees and minimum deposit requirements of your IRA plan custodian(s), however. Multiple accounts could mean that you’ll be charged multiple fees to administer your IRA …