Yes, indeed!
By the way, Things have really turned around for Supergirl since the Silver Age comics, haven't they? Back then, Kara, not Lena, was the one who knew her way around an electronics lab!
And here's Kara with her biological (Kryptonian) parents. She's hugging Alura here, while Zor-El is "offstage", pointing his finger at her:
Remember - "Supergirl doesn't kill!"