  We show that future observations of binary neutron star systems with
electromagnetic counterparts together with the traditional probes of low- and
high-redshift Type Ia supernovae (SNe Ia) can help resolve the Hubble tension.
The luminosity distance inferred from these probes and its scatter depend on
the underlying cosmology. By using the gravitational lensing of light or
gravitational waves emitted by, and peculiar motion of, these systems we derive
constraints on the sum of neutrino masses, the equation of state of dark energy
parametrized in the form $w_0 + w_a (1-a)$, along with the Hubble constant and
cold dark matter density in the universe. We show that even after marginalizing
over poorly constrained physical quantities, such as the sum of neutrino masses
and the nature of dark energy, low-redshift gravitational-wave observations, in
combination with SNe Ia, have the potential to rule out new physics as the
underlying cause of the Hubble tension at $\gtrsim 5.5\sigma$.
