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

Did the Universe Experienced a Pressure non-Crushing Type Cosmological Singularity in the Recent Past?