@Taty - the short answer is no. In fact, an excess of insulin puts the brakes on ketosis (ketone production).
" The ketone bodies are released by the liver into the blood. All cells with mitochondria can take ketone bodies up from the blood and reconvert them into acetyl-CoA, which can then be used as fuel in their citric acid cycles, as no other tissue can divert its oxaloacetate into the gluconeogenic pathway in the way that the liver does this. Unlike free fatty acids, ketone bodies can cross the blood-brain barrier and are therefore available as fuel for the cells of the central nervous system, acting as a substitute for glucose, on which these cells normally survive. The occurrence of high levels of ketone bodies in the blood during starvation, a low carbohydrate diet and prolonged heavy exercise can lead to ketosis, and in its extreme form in out-of-control type 1 diabetes mellitus, as ketoacidosis. "
For more info see https://en.wikipedia.org/wiki/Ketone_bodies
I’ve been on a carb restricted diet for 16 months now, and my body is fuelled by ketones