  The tractability of the Sachdev-Ye-Kitaev (SYK) model at large $N$ limit
makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and
holographic duality properties. We show that the complex SYK Hamiltonian
emerges from a system of spinless itinerant fermions in an optical Kagome
lattice with a strong disorder. We discuss the regimes supporting flat band
spectra in a Kagome lattice, where the system can be non-dispersive. Random
interaction between non-dispersive fermions is induced due to randomly
distributed immobile impurities in the optical lattice, that exclude the
presence of itinerant fermions at their locations. We show that the proposed
setup is a reliable experimental platform to realize the SYK model and study
its exotic behavior. We show that the velocity distribution of the released
fermions is a sensitive probe of the many-body Wigner-Dyson spectral density of
states while the averaged many-body Loschmidt echo scheme can measure two-point
out-of-time-ordered correlation functions of the SYK system.
