Um, no. If you read the next verse, you see that it was a case of mistaken identity on the part of the Roman tribune, who had assumed Paul was an Egyptian.
Agree, after reading further that is probably the case. However, reading even further my memory is becoming less fuzzy about the matter of what was mostly spoken:
Acts 21:39 Paul answered, “I am a Jew, from Tarsus in Cilicia, a citizen of no ordinary city. Please let me speak to the people.”
40 After receiving the commander’s permission, Paul stood on the steps and motioned to the crowd. When they were all silent, he said to them in Aramaic:
I would question if instead of Aramaic, it was actually Hebrew he spoke to them in, as there seems to be a consistent effort to switch the words out, at least in the book of Matthew. View Gordon's presentation for details.