As of today, December 5, 2023, there has been no official announcement of Netflix about a second season 2 of A Nearly Normal Family from Netflix.
The show was initially developed as a miniseries, and the First season six episodes seems to have concluded the story based on the source material, MT Edvardsson's novel "En Helt Vanlig Familj".
Therefore, it seems unlikely that there will be a second season unless Netflix decide to turn the show into an anthology series, adapting a different book each season.
Has Netflix's A Normal Family been renewed for a second season 2?
However, if the show gains significant popularity or critical acclaim, Netflix could reconsider its decision and renew it for a second season.
Ultimately, the decision to renew or not A Nearly Normal Family for a second season it will depend on Netflix.
However, based on current information, it seems unlikely that the series come back for another season.