Perhaps, but it’s not unprecedented. The B2 stealth bomber, for example, famously lacks a vertical stabilizer (tail fin) and so is inherently unstable and relies on computerized control surfaces to maintain stable flight [1].

This seems to have worked fine, although the things definitely log way fewer flight hours than an airliner. I believe several other aircraft do this as well (fighter jets and such).

Still, the idea of it would give me the willies if I were in charge of flying one.

[1]: https://en.m.wikipedia.org/wiki/Northrop_Grumman_B-2_Spirit#...