  We use the spectral lag catalog of 46 short GRBs aggregated by Xiao et al
(2022), to carry out an independent search for Lorentz Invariance violation
(LIV). For this purpose, we use a power-law model as a function of energy for
the intrinsic astrophysical induced spectral lags. The expansion history of the
universe needed for constraining LIV was obtained in a non-parametric method
using cosmic chronometers. We use Bayesian model comparison to determine if the
aforementioned spectral lags show evidence for LIV as compared to only
astrophysically induced lags. We do not find any evidence for LIV, and obtain
95\% c.l. lower limits on the corresponding energy scale to be $4 \times
10^{15}$ GeV and $6.8 \times 10^{9}$ GeV for the linear and quadratic LIV
models respectively. Our results obtained by using the flat $\Lambda$CDM model
for characterizing the cosmic expansion history are consistent with those
obtained using chronometers.
