  We explore the critical properties of a topological transition in a
two-dimensional, amorphous lattice with randomly distributed points. The model
intrinsically breaks the time-reversal symmetry without an external magnetic
field, akin to a Chern insulator. Here, the topological transition is induced
by varying the density of lattice points or adjusting the mass parameter. Using
the two-terminal conductance and multifractality of the wavefunction, we found
that the topological transition belongs to the same universality class as the
integer quantum Hall transition. Regardless of the approach to the critical
point across the phase boundary, the localization length exponent remains
within $\nu \approx 2.55 - 2.61$. The irrelevant scaling exponent for both the
observables is $y \approx 0.3(1)$, comparable to the values obtained using
transfer matrix analysis in the Chalker-Coddigton network. Additionally, the
investigation of the entire distribution function of the inverse participation
ratio at the critical point shows possible deviations from the parabolic
multifractal spectrum at the anomalous quantum Hall transition.
