No, it is fictional. It is claimed that the Egyptologist Auguste Mariette wrote a brief plot for an Opera in 1869 at the request of the Khedive. Although there are scholars who argue that the scenario was really written by Temistocle Solera. In 1870 this concept, worked into a scenario by Camille du Locle, was proposed to Giuseppe Verdi.
He accepted it as a subject for Aida. The links below gives more details.
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Aida
Aida, an Ethiopian princess, in the opera of that name.
Miss Saigon is based off of Puccini's Madame Butterfly.
Aida
It premiered in Cairo.