As an aside to @juice - don’t you regularly walk for exercise? I see your photos posted in the thread dedicated to daily walks that you created.
To the original question, which has been answered dozens of times - you can probably lose MORE weight from dieting without exercise. However, you are losing both fat and muscle (and perhaps even bone). Most people want to lose fat, not weight. Doing some exercises while dieting can help minimize or avoid muscle loss, even though that may actually slow numerical weight loss.
I personally choose to get some light endurance exercise by walking 2 - 3 miles, 3 or 4 days a week, and do some body-weight and light weight lifting, 2 - 3 days a week. I am not doing this to speed weight loss, but to try to retain muscle mass so that the weight I do lose is mostly fat loss.