Based on established Dragon Ball lore, no, Chi-Chi cannot use the Kaio-ken technique.
While Chi-Chi is a skilled martial artist and possesses considerable strength for a human, the Kaio-ken technique requires rigorous training and a level of power beyond what she has demonstrated in the series. The technique, taught by King Kai, amplifies the user's ki for a short period, significantly increasing their power, speed, and senses. However, it also puts a tremendous strain on the body and can be fatal if not controlled properly.
The reference suggests that Chi-Chi's potential power level could become exceptionally high and that "Beast Mode" is directly inherited from her, implying a hidden power. However, this is speculative and doesn't change the fact that she has never been shown to use or learn the Kaio-ken. It is more likely referring to Gohan's potential and inherited power from both Goku and Chi-Chi.
Furthermore, Chi-Chi is generally portrayed as a supportive character who focuses on raising her children and managing the household rather than pursuing further martial arts training to the same extent as Goku or Gohan. Therefore, it is unlikely that she would have had the opportunity or inclination to learn such a demanding technique.
