Yes. This is an abbreviated form of the greeting, often accompanied by a polite nod. In dialogue it is sometimes written so that the "good" is shown to be an implied word:

Man: Good Morning.

Other man: 'Morning.

Grant and Meade entered Petersburg in the morning of 3rd April 1865 at 9,00 AM. They were joined after a while by President Lincoln accompanied by the Admirals Porter and Farragut.

her dog always accompanied her on visits to the lake. :)

Accompanied has four syllables.