Negatory.
A DC Generator uses rectification, generally in the form of diodes for light aircraft, to reduce the natural AC output to DC.
An alternator doesn't need to do this: all generators output AC.
Older vehicles use DC generators: these are AC generators which use diodes to rectify, or filter the output to provide a DC output. All generators are AC.
Modern vehicles use alternators. These are AC generators, just as the older vehicles are AC generators.
Your thinking that generators are DC and alternators are AC is wrong. All generators make or generate AC electricity. All alternators are generators. All alternators and all generators make AC electricity. What's delivered to the customer system varies according to the customer needs.
For your purposes, the difference that you need to know is that alternators are a little more complex, don't need excitation, don't need the field to be flashed, and most importantly for you, whereas a generator doesn't normally have a stable output at low RPM engine power settings, the alternator does.
In more complex aircraft, we often use starter-generators to save weight; one motor that is either functioning as a generator at higher speeds, or functioning as a starter at lower speeds. We also use AC generators in many cases.