Yes, a lot of people do low carb without doing the induction. A lot of people also do low carb plans that aren't Atkins. What some people who do Atkins and do, the induction find is that the 2 week period of severly restricted foods helps them get over cravings they might have for sweets or other carbs. Other people can jump right into low carbing with no cravings, a lot of this probably depends on how you were eating before you started the plan.

Here's a link to an outline of quite a few low- carb or controlled -carb plans

plan comparison