It's not likely to happen.  Ok, it's not going to happen, but the NFL does have a procedure in place to replay a game or a part of a game if there is some sort of calamity.

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The rule says

The Commissioner has the sole authority to investigate and take appropriate disciplinary and/or corrective measures if any... calamity occurs in an NFL game which the Commissioner deems so extraordinarily unfair or outside the accepted tactics encountered in professional football that such action has a major effect on the result of the game.

Rule 17 of the NFL Rule Book reads in Section 2.

The Commissioner could call for reversing the result of the game or call for a new game either from the beginning or from the point of the calamity.

This is not going to rise to the calamity level, though and the Saints will have to think about next year.

Article 2 of the rule says

The Commissioner will not apply authority in cases of complaints by clubs concerning judgmental errors or routine errors of omission by game officials. Games involving such complaints will continue to stand as completed.

Saints fans won't be happy about this and will have to start worrying about the 2019 season and whether or not Drew Brees will be back.  He says he's planning to come back for another year.

We do know now that the NFL's head of officiating admits the crew blew it. The defender, Nickell Robey-Coleman, admits he committed a penalty against Tommylee Lewis after he was beat on the play. The video clearly shows this was interference and a helmet to helmet hit.  But no flag was thrown.

The Saints wind up losing the game in overtime to the Rams who now advance to play the Patriots in the Super Bowl on February 3rd.