Can we make games for Xbox 360 with Construct Classic?
or If I make a game with Construct Classic can I port it with a program for Xbox 360?
No you cannot do that, windows executable only.
Develop games in your browser. Powerful, performant & highly capable.
Are there any program for it?
For xbox 360 you need XNA, there are game dev programs that export to xbox 360,gamemaker being one of them, but it's probably a bit late as since january it is basically being phased out...