No. First of all, we do not turn on any electric devices on Shabbos or Yom Tov. Secondly, they contain an electric heating element to vaporize the liquid. Turning this on is equivalent to lighting a fire, which is forbidden on Yom Tov. Furthermore, the act or cooking/burning the solution is essentially similar to the burning of tobacco in a traditional cigarette, which is forbidden on Yom Tov by the majority of Poskim.