Yes, a good Matfer or Solidteknics carbon steel / wrought iron / blue iron pan is fantastic for eggs, omelettes, and crepes. Matfer as a French brand even has specific crepe and omelette pans made this way.
The only downside to a Matfer, or any other carbon steel pan, is that you need to be prepared to season it yourself. They do not come pre-seasoned like most cast iron pans and it is a good bit of work. Having said that, I absolutely love the one I have and plan on buying at least one more in the future.