Sure, until the social norms become those that are completely immoral.
Unless the social norm is clearly immoral, I think it’s worth making an effort to obey it.
For one, it encourages humility to abide by the social rules of one’s culture. I believe G.K. Chesterton talks a lot about the value of convention.
When the social norm becomes burning incense to the emperor or sacrificing your children to Moloch, good luck with recouping your confidence, based as it will be on the morally corrupt standards of “social norms.”
You’ll notice that St. Paul encouraged his Christian audience to abide by local cultural standards as much as possible and avoid giving unnecessary offense and he himself was extremely culturally flexible. See 1 Corinthians 9:
“To the Jews I became as a Jew, in order to win Jews; to those under the law I became as one under the law—though not being myself under the law—that I might win those under the law. To those outside the law I became as one outside the law—not being without law toward God but under the law of Christ—that I might win those outside the law. To the weak I became weak, that I might win the weak. I have become all things to all men, that I might by all means save some. I do it all for the sake of the gospel, that I may share in its blessings.”
It’s a huge mistake by some conservative Christians today to think that we’re supposed to slavishly obey the cultural norms of the 1st century Mediterranean world, whereas if St. Paul were with us today, he would encourage us to be good 21st century citizens, living as much as possible in harmony with local cultural norms, but having a strong sense of what actual morals require. He would not be impressed with people who give offense for the sake of giving offense and who make Christianity look bad.
See also 1 Peter 2:
“Maintain good conduct among the Gentiles, so that in case they speak against you as wrongdoers, they may see your good deeds and glorify God on the day of visitation. 13 Be subject for the Lord’s sake to every human institution, whether it be to the emperor as supreme, 14 or to governors as sent by him to punish those who do wrong and to praise those who do right. 15 For it is God’s will that by doing right you should put to silence the ignorance of foolish men. 16 Live as free men, yet without using your freedom as a pretext for evil; but live as servants of God. 17 Honor all men. Love the brotherhood. Fear God. Honor the emperor.”
I actually think that this is what a lot of the “submit” passages in the New Testament Epistles are about–not giving unnecessary offense or giving Christians a bad reputation by unnecessarily and willfully violating local cultural norms…