From it's philosophical point of view ,it's impossible because of paradoxes it may create. As an example an individual goes back in time killing his or her own parents!
From it's scientific point of view, for a subluminal matter(matter initially moving with a velocity less than the speed of light),it's impossible to exceed the speed of light and therefor impossible to travel through time to the Absolute past(the history below the lightcone). For luminal particles (graviton,photon,...)its impossible to change speed for non can reach them so non can "tell" them to go faster!
For superluminal particles(tachyons) ,its possible ,but tachyons either do not exist or ,if they do, they do not interact with ordinary matter(subluminal and luminal).
So according to today's accepted science and philosophy, it's impossible.
Even for a particle moving toward a blackhole ,the maximum limited speed is c=299792458 m/s according to all inertial observers stationary. What happens is called the event horizon (From these observers point of view,the particle approaches the blackhole but never goes further than a limit).