1+1D Chiral Fermions on the edges of 2+1D chiral topological phases are free from backscattering, which lead to quantized Hall and thermal Hall conductances. Interacting chiral fermions at low energies are usually believed to form chiral Luttinger liquid, which is known as an integrable system. Here we study the integrability of N identical chiral Majorana fermion modes with generic 4-fermion interactions. We find the system is integrable by bosonization when N<=6, but becomes quantum chaotic when N>=7. In the large N limit, the system defines a chiral SYK model, which can be solved analytically. The maximal chaos bound is reached when the interaction strength approaches the upper limit, while the zero-temperature entropy density is zero. Lastly, we show the transition from integrability to chaos at N=7 by level statistics numerical calculation.