  We use supernovae measurements, calibrated by the local determination of the
Hubble constant $H_0$ by SH0ES, to interpolate the distance-redshift relation
using Gaussian process regression. We then predict, independent of the
cosmological model, the distances that are measured with strong lensing time
delays. We find excellent agreement between these predictions and the
measurements. The agreement holds when we consider only the redshift dependence
of the distance-redshift relation, independent of the value of $H_0$. Our
results disfavor the possibility that lens mass modeling contributes a 10\%
bias or uncertainty in the strong lensing analysis, as suggested recently in
the literature. In general our analysis strengthens the case that residual
systematic errors in both measurements are below the level of the current
discrepancy with the CMB determination of $H_0$, and supports the possibility
of new physical phenomena on cosmological scales. With additional data our
methodology can provide more stringent tests of unaccounted for systematics in
the determinations of the distance-redshift relation in the late universe.
