The quick answer is YES, it is possible to generate AC without an alternator.
Any oscillator will generate AC of some sort.
As Nigel has said, you do not specify the conditions for the AC which you are trying to generate, and you do not specify what you are going to use as the source of power.
If your electronics teacher does not know, it could be that you need a new electronic teacher. :roll:
You do not state your location, but I would also comment that if you are located in an English speaking country, you should pay more attention to the English teacher.
JimB