Yes. I have lost half a stone after cutting out free sugars about 6 weeks ago. I was eating too many snacks and treats and I'm an all or nothing type of person so knew I needed to stop all together. I cut out sugary cereal, jam, marmalade, chutney, honey, biscuits, cakes, sweets any snacks with hidden sugar like bread sticks, humus(?), yoghurt.
I did continue to eat bread, rice cakes, home-made cheese scones, home-made sugar-free muffins, fruit and did not cut out alcohol. Within a short space of time I stopped craving the sweet snacks and over all I have more energy, no blood sugar slumps, I feel less of a slave to food as I don't think about it very much as I don't feel hungry like I always did.
I don't know that I will lose much more weight but that wasn't my aim. If I cut out snacks altogether, I probably could.