  In the recent literature it has been shown that the $H_0$ tension may be
eliminated if an abrupt physics transition changed the Cepheid parameters in
the near past of the Universe, nearly $70-150\,$Myrs ago. In this letter we
stress the possibility that this abrupt transition was caused by the smooth
passage of our Universe through a pressure finite-time cosmological
singularity. Being a non-crushing type singularity the pressure singularity can
leave its imprints in the Universe, since it occurs globally and literally
everywhere. We discuss how this scenario could easily be realized by $F(R)$
gravity, with the strong energy conditions being satisfied without the need for
a scalar field or specific matter fluids. We also stress the fact that the
pressure singularity can affect the effective gravitational constant of $F(R)$
gravity. Moreover, we stress the fact that pressure singularities can disrupt
the trajectories of bound objects in the Universe, which is also pointed out in
the literature, even in the context of general relativity. We also show
numerically in a general relativistic framework that elliptic trajectories are
distorted and changed to different elliptic trajectories when the Universe
passes through the pressure singularity. Such a disruption of the trajectories
could have tidal effects on the surface of the earth, for example on sea waters
and oceans, regarding the distortion of moon's elliptic trajectory.
Accordingly, the distortion of earth's trajectory around the sun could have
affected climatologically earth $70-150\,$Myrs ago.
