Yes, as long as you or your spouse had at least one day of minimum essential coverage at least one day during the 60 days prior to your marriage (this requirement does not apply if at least one spouse lived abroad for one day or more during the last 60 days, or is an American Indian or Alaskan Native). After selecting a plan, you must also submit documentation verifying your marriage to be able to enroll. Also, if either of you have current marketplace coverage, your plan selection is limited to adding a spouse to the current marketplace plan or enrolling the new spouse in a separate plan. The current marketplace enrollee cannot use the special enrollment to change plans. (45 C.F.R. § 155.420; 82 Fed. Reg. 18346, April 18, 2017; Special Enrollment Period (SEP) Overview for the Federally-facilitated (sic) Marketplace, July 2018).