Is there a difference between "aerobatic" and "acrobatic" flight?
Acrobatic is being incorrectly used, although it is slightly more complicated than that.

"Aerobatic" refers specifically to flight, and "acrobatic" refers specifically to feats of the human body, so referring to an aircraft as performing acrobatics is wrong.

That said, the word "aerobatic" is derived from "aero-acrobatics" and sounds nearly identical, so it's an understandable and relatively common error.