Of course, that opens up new problems, and no Kara.
Not ... necessarily.
Argo is still going to be thrown into space by the explosion (or whatever actually happened.) Given that, it's not impossible that a branch of the El family will be there. Given that, it's not impossible that they'll name their son Zor-El, and that they'll rocket him and Alura to Earth when the bedrock turns into Anti-K when they're young adults ... and that they'll arrive and be found by Jor-El and Lara ... and their child will be Kal-El's cousin.