A small tree with a vertically aligned center of gravity often can be helped along.
You could also poison it by drilling a bunch of holes in the stump and filling them with either salt or glyphosphate RoundUp.
If leaning in an advantageous direction, a tree with a well-defined offset can be relatively simple to make fall where you want. In the case of a very small tree, one simple cut on the side. A big Douglas fir tree was leaning over our cabin and needed to be removed.
Pulling the tree with block and tackle and a truck was the only way to make it. Jul 23, Pinpoint the exact direction in which you want the tree to fall. Find a landmark from your surroundings to use as a guide, and use the sights on the top of your chainsaw to line up the angle to the directional notch you plan to cut.