Every moving thing that is alive shall be food for you; I have given everything to you, as I gave the green plant.
Genesis 9:3 (NASB)
One little gem I've discovered while reading Jewish commentaries on Scripture is that Jewish theologians have swatted away dweebs who interpret the text poorly for a very long time. This was written by R' Jacob ben Asher who lived between the years 1269 and 1343.
כל רמש אשר הוא חי, “every moving living creature, etc.” This expression includes all creatures other than man.
Tur HaAroch on Genesis 9:3:1
No. You can't eat people.