Yes it will speed up the whole digestive process . It doesn’t make a huge difference but it’s good way to start shorter fasts. You can also use exercise to kick off ketosis. There are articles about this. I try to take a walk after dinner every evening.
Excercise is a powerful tool to kickstart ketosis and deepen autophagy. I excercise every day of my fast. I look forward to a hike on day 3! I usually have so much energy. Your body loves ketones and excercise helps your body make tons of them.