AGI has nothing to do with it. What matters is having compensation to support the contribution. If your spouse has a W-2 with at least $800 in box 1, nothing in box 11 and your spouse made no IRA contribution, your spouse's compensation would support your IRA contribution. Because some amount of your spouse's pay would have gone to income tax withholding, Social Security tax and Medicare tax, it's doubtful that your spouse would have less than $800 in box 1 of the W-2. (Note that income excluded as foreign-earned income will not support an IRA contribution.)
"You stated your AGI is -68k."
Although it's irrelevant, no, the statement was that AGI was approximately $68k.
