Yes.
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PI is the Latin name of the Greek letter(by Greek letter I mean the PI symbol.
The symbol for pi (π), is the Greek letter that is the equivalent to the Roman p. It is the Greek letter pi. It is the first letter of the Greek word περίμετρος (perimetros) from which our word perimeter comes.
No. the symbol for pi stems off of the Greek letter pi, probably due to the fact that the discoverer of pi was Greek.
The symbol of pi is 16th letter of the Greek alphabet and it was chosen because the first letter of the equivalent of the word perimeter begins with pi in the Greek language.
The 'symbol' is a letter in the Greek alphabet - which is pronounced 'pi'. The connection between the letter and the ratio of the diameter and the circumference fo a circle may come from the fact that the letter pi is the first letter of the Greek word for perimeter, and the word for periphery.