No - though eggs are one of the allowed foods for Atkins they are certainly not mandatory.

And there is certainly no need to think you have to eat eggs for breakfast (unlike the media assume). I never eat eggs and bacon for breakfast unless I am staying in a hotel which offers a 'full English' but do often have it for lunch at a local café or truck stop.

Eggs are useful in preparing other recipes though, like quiches and revolution rolls as a bread substititute as well as in many other baked recipes to add variety.