This is okay if you are not covered by your spouse’s health plan (you cannot have family coverage). You cannot enroll in the Consumer-driven health plan (CDHP) and contribute to the health savings account (HSA) if you have any other coverage unless the other coverage is a CDHP.
If either spouse has family CDHP coverage, both spouses are treated as having family CDHP coverage. If the spouse’s employer offers a high-deductible plan, both the employee and spouse can enroll and contribute to their individual HSAs. However, the maximum contribution limit for the two of you is combined.