Yes, up to the amount of income limits for spousal IRAs but only if the following applies.
If you or your spouse is
covered by a retirement plan at anytime (even 1 day) during the year, your IRA
contributions may be limited. It does not matter if the coverage was
before/after the establishment of IRA.
See link below for the income
limits if covered by a retirement plan at work.
From
<https://ttlc.intuit.com/questions/3874636-my-employer-offered-a-retirement-plan-for-part-of-last-year-can-i-deduct-some-of-my-ira-contribution?jump_to=answer_6094847>
Kay Bailey Hutchison Spousal IRA Limit
For 2018, if you
file a joint return and your taxable compensation is less than that of your
spouse, the most that can be contributed for the year to your IRA is the
smaller of the following two amounts:
- $5,500 ($6,500 if you are age 50 or older), or
- The total compensation includible in the gross income of
both you and your spouse for the year, reduced by the following two
amounts.
- Your spouse's IRA contribution for the year to a
traditional IRA.
- Any contributions for the year to a Roth IRA on behalf
of your spouse.
This means that
the total combined contributions that can be made for the year to your IRA and
your spouse's IRA can be as much as $11,000 ($12,000 if only one of you is age
50 or older or $13,000 if both of you are age 50 or older).