  We study the quantum phases of spinless fermion at one-third filling on a
Kagome lattice featuring a quadratic band touching Fermi point. In the presence
of weak first and second nearest-neighbor repulsive interactions ($V_1$ and
$V_2$), we demonstrate an interaction driven quantum anomalous Hall effect by
employing exact diagonalization and density-matrix renormalization group
methods. The time-reversal symmetry is broken spontaneously by forming loop
currents that exhibit long-range correlation. Quantized Hall conductance
corresponding to Chern number of $\pm1$ is obtained by measuring the pumped
charge through inserting flux in a cylinder geometry. We find that the energy
gap, which topologically protects the emerging ground states, can be enhanced
remarkably by a moderate $V_2 < V_1$ via calculating the spectrum and charge
excitation gaps, which highlights the experimentally feasible scheme of
realizing interaction driven topological phase by spatially decaying
interactions on topologically trivial lattice models.
