no, it is just a legend but there is a lizard found in tropical America that is called Basiliscus lizard.
Basiliscus is the genus in which the basilisk lizard (all subspecies) are found.
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If you mean the mythological basilisk, it's born of a serpent egg that's been hatched by a chicken or rooster. The opposite is true of a cockatrice, as the serpent hatches the hen's egg.
In a book, Hermione reads that the sword of Gryffindor only takes in that which makes it stronger. In Harry Potter and the Chamber of Secrets Harry uses the sword of Gryffindor to stab the basilisk in the basilisk's mouth; this means the sword contains basilisk venom which makes it stronger and it can kill horcruxes, just like the fang of the basilisk.
He learned that the creature petrifying students was a basilisk, and that it was traveling through the plumbing. It was a page that Hermione had ripped out of a book about basilisks.
The voice was computer-generated.
Penelope Clearwater. They got petrified together.