No. Ketosis depends only on your brain's requirement for fuel. Without ketones, your brain needs about 100-130g a day of glucose to meet it's energy needs (this is true for most people on a regular "balanced" high-carb diet). Your brain is selfish, and gets first call on any glucose in your system (before muscle or liver storage).
Ketosis occurs when you don't injest enough carbohydrate to fuel your brain (ie <100g), when this happens your liver breaks down free fatty acids to form ketones, which are an alternative energy source for your brain (and other cells in the early stages of ketosis).
In deep ketosis your brain's glucose requirements are redued to about 25g, with the other 75% of its energy coming from ketones. All of that 25g can be generated from protein and fat through gluconeogenesis, so you don't actually need to injest any carbohydrates.
Ketosis is therefore governed by your brain's requirement for energy (which is more or less constant in everyone) and not by your muscle mass.