Yes. This is one of the main benefits as once the stump has been ground up into chippings (that can be used as mulch) then there is nothing for the roots to be attached to and so cannot soak up water and nutrients or indeed grow. Eventually, the roots will just dry up and rot into the soil. Some trees are more resilient than others but DAM Services will advise if there are any special actions to ensure tree growth cannot re-occur.