No. I believe you don't fully understand DOMA. There are several sections of DOMA. Thus far, only Section 3 has been found to be unconstitutional. Section 2, which is the section that deals with the part you've described, has been left alone.
Section 3 of the Act, which is codified at 1 U.S.C. § 7, simply defines the terms “marriage” and “spouse” for purposes of federal law. For example, federal law provides for benefits to a surviving spouse of a deceased military member. So you’re saying Congress has no authority under the Constitution to define the term “spouse” for that law?