If you're following Atkins the answer is "yes"... as you increase your carbs are supposed to decrease your fat intake. This is especially true when you reach pre-maintenance (about 10# to goal). Some people find they have to decrease fats sooner if they are lucky enough to continue losing with a higher carb intake. Once you leave ketosis, then it's certainly necessary to cut back on fat grams. Never to a "low fat" diet, but not the high fat diet of Induction.
Now... if you're not following Atkins and you never intend to reintroduce fruit, grains, etc and you plan to stay under 50g carb (which is ketosis for most people) then you can keep your fat intake high (and probably should).
You'll need to decide what to do about the fat intake once you decide your carb intake for maintenance. For the first few weeks of OWL it's not that critical.
I am the master of my fate:
I am the captain of my soul.