Yes, there are loads of professional famous singers who sing with a high larynx. It’s their signature sound. It’s their uniqueness.
Do I recommend it? Absolutely not. It’s very limiting, tiring, and IMHO, usually not a marketable sound.
The key is the ability to sing with a larynx high (if one choses for artistic reasons, and to sing with the larynx stable and neutral if one choses). This is the case of Alanis Morrissette. I happen to think she is wildly creative and a very unique and interesting artist.
There are many important qualities that help the position of a high larynx create a manageable and non-straining sound. Optimum breath control and agility, strength and flexibility of the vocal cords are paramount. The ability to produce oral twang and maintain strong oral resonance allows the singer to produce frequencies that appear loud and piercing to the listener. Also, a singer needs control and ease of the jaw and tongue. This allows optimum freedom to form their speech-like voice with interesting and unique enunciation of vowels and consonants.