Yes. Nutrition is the main gateway to body weight control. Exercise helps but it isn’t the major player (some people will throw numbers around like 80/20 split)
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So by all means, learn to control your food intake, have some excellent fasts, and enjoy your weight loss journey. Also don’t be scared to “fail” out of fasts and try new protocols. A week is a pretty big jump for someone who hasn’t built the skill yet
I don’t workout at all and I’m losing weight w fasting and eating healthy. Sometimes I go for walks but I rarely get 10k steps a day. Maybe half that if I’m lucky. Working out isn’t necessary to lose weight but it does help.