I think this is what you want:
[LIST]
[]PXE boot to capone
[]capone displays a list of images
[]You pick an image
[]FOG images your machine
[/LIST]
Short answer: Out of the box, No
Long answer: Anything is possible if you have enough time
I would recommend a Cisco or HP. They are both standards compliant.
I know that there are Classes / scripts out there to interface with these routers easily.
FOG is a network based solution, where clonezilla is more a media based (CD, USB, etc) solution.
That being said, Clonezilla does have network support.