No!
Yes, in Cerulean Cave located in Cerulean City. It is at Level 70 and it is a Psychic Type Legendary.
On Pokemon Fire Red you can find the legendary pokemon: Articuno-at sea foam Island Zapdos-at power plant Moltres-at Mt.Ember Mewtwo-Cerulean cave Unknown-Tanoby Ruins
Cerulean Cave
You can get Mewtwo in the Cerulean Cave.
cerulean city
Cerulean cave located near cerulean city.
Oooh! There is a legendary Pokemon residing within... It has been told about only in myths.... This is a psychic Pokemon that you'll probably need the masterball to catch. It is MEWTWO!!!!
Cerulean cave
mewtwo is in cerulean cave
inside cerulean cave near cerulean city.
moltres
No