No. In fact, if your sole consideration is to be in ketosis, you'll want to eat much less protein. This article suggests that above 25% of calories from protein reduces one's generation of ketones. The more protein you eat above your needs, the more your body should simply turn into glucose, beginning to run your metabolism on that rather than fat.
One legitimate contrary concern would be that eating less protein/carbohydrate to be in ketosis would mean that you lack sufficient glucose for your body's needs and so you'll waste muscle as your body turns it into glucose. Whether this is a real worry depends on the amount of glucose you think your body needs, whether very little, for a few intransigent sections of the brain that can't run on ketones or around 400 calories per day. I certainly fall in the former camp and don't think there's much risk of 'glucose deficiency' - that said, I do eat a little bit more protein and carbs since a) I'm trying to gain muscle and b) I broadly follow the Optimal Diet, which suggests that it's better to ingest a little glucose, than to force your body to generate it constantly (which is metabolically stressful, raises cortisol etc). If you do want to maximise ketosis, however, you'd want to just keep protein at the minimal amount to meet your needs. Eating coconut will also increase ketone levels, though in the long term, metabolism of MCTs tends to switch to become more akin to that of normal LCTs.